{"id":762,"date":"2020-08-21T19:41:43","date_gmt":"2020-08-21T23:41:43","guid":{"rendered":"https:\/\/opentextbc.ca\/introalgebra\/chapter\/solve-general-applications-of-percent\/"},"modified":"2021-03-24T10:54:28","modified_gmt":"2021-03-24T14:54:28","slug":"solve-general-applications-of-percent","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/introalgebra\/chapter\/solve-general-applications-of-percent\/","title":{"raw":"4.4 Solve General Applications of Percent","rendered":"4.4 Solve General Applications of Percent"},"content":{"raw":"[latexpage]\n<div class=\"textbox textbox--learning-objectives\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Learning Objectives<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nBy the end of this section, you will be able to:\n<ul>\n \t<li>Translate and solve basic percent equations<\/li>\n \t<li>Solve applications of percent<\/li>\n \t<li>Find percent increase and percent decrease<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h1>Translate and Solve Basic Percent Equations<\/h1>\n<p id=\"fs-id1471476\">In the last section, we solved percent problems by setting them up as proportions. That is the best method available when you did not have the tools of algebra. Now, in this section we will translate word sentences into algebraic equations, and then solve the percent equations.<\/p>\n<p id=\"fs-id1474559\">We'll look at a common application of percent\u2014tips to a server at a restaurant\u2014to see how to set up a basic percent application.<\/p>\n<p id=\"eip-636\">When Kim and her friends went on a road trip to Vancouver, they ate lunch at Marta's Cafe Tower. The bill came to \\(\\text{\\$80}\\). They wanted to leave a \\(\\text{20\\%}\\) tip. What amount would the tip be?<\/p>\n<p id=\"fs-id1166492771503\">To solve this, we want to find what <em data-effect=\"italics\">amount<\/em> is \\(\\text{20\\%}\\) of \\(\\text{\\$80}\\). The \\(\\text{\\$80}\\) is called the <em data-effect=\"italics\">base<\/em>. The amount of the tip would be \\(0.20\\left(80\\right)\\), or \\(\\text{\\$16}\\) See <a class=\"autogenerated-content\" href=\"#CNX_BMath_Figure_06_02_001\">(Figure 1)<\/a>. To find the amount of the tip, we multiplied the percent by the base.<\/p>\nA \\(\\text{20\\%}\\) tip for an \\(\\text{\\$80}\\) restaurant bill comes out to \\(\\text{\\$16}\\).\n<div id=\"CNX_BMath_Figure_06_02_001\" class=\"bc-figure figure\">\n<div>\n\n[caption id=\"attachment_723\" align=\"aligncenter\" width=\"383\"]<img class=\"wp-image-723\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2020\/08\/Chapter4.3Figure1-300x255.png\" alt=\"\" width=\"383\" height=\"326\"> Figure 1.(credit: Marta Oraniewicz)[\/caption]\n\n<\/div>\n<\/div>\n<p id=\"fs-id1494005\">In the next examples, we will find the amount. We must be sure to change the given percent to a decimal when we translate the words into an equation.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id847865\" data-type=\"problem\">\n<p id=\"fs-id1484063\">What number is \\(\\text{35\\%}\\) of \\(90?\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1452183\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168467117646\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question 'what number is 35% of 90?'. Translate the words into algebra, letting the variable n equal the number, representing the word 'is' with an equals sign, writing 35% as 0.35, representing the word 'of' with a multiplication dot, and writing 90 as 90. The result is the equation, n = 0.35 \u00b7 90. Multiply to find that n = 31.5. 31.5 is 35% of 90.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Translate into algebra. Let \\(n=\\phantom{\\rule{0.2em}{0ex}}\\)the number.<\/td>\n<td><span id=\"eip-id1168467170003\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_003_img-01-01.png\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td><span id=\"eip-id1144430\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_003_img-01-02.png\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td data-align=\"center\">\\(31.5\\) is \\(35\\%\\) of \\(90\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1432323\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1536999\" data-type=\"exercise\">\n<div id=\"fs-id1166491761008\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166491761008\" data-type=\"problem\">\n<p id=\"fs-id1454525\">What number is \\(\\text{45\\%}\\) of \\(80?\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1430281\" data-type=\"solution\">\n<div><details><summary>Show answer<\/summary>\n<p id=\"fs-id1342382\">36<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166494585796\" data-type=\"exercise\">\n<div id=\"fs-id1944173\" data-type=\"problem\">\n<p id=\"fs-id1166491055574\">What number is \\(\\text{55\\%}\\) of \\(60?\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1700517\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1572672\">33<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166494585796\" data-type=\"exercise\">\n<div id=\"fs-id1700517\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1445562\" data-type=\"problem\">\n<p id=\"fs-id641408\">\\(\\text{125\\%}\\) of \\(28\\) is what number?<\/p>\n\n<\/div>\n<div id=\"fs-id1470529\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168469855167\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question '125% of 28 is what number?' Translate the words into algebra, writing 125% as 1.25, representing the word 'of' with a multiplication dot, representing the word 'is' with an equals sign, and letting the variable a equal the number. The result is the equation 1.25 \u00b7 28 = a. Multiply to find that 35 = a. 125% of 28 is 35.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Translate into algebra. Let \\(a\\phantom{\\rule{0.2em}{0ex}}=\\phantom{\\rule{0.2em}{0ex}}\\)the number.<\/td>\n<td><span id=\"eip-id1168469683811\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_004_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td><span id=\"eip-id1170688202220\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_004_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td data-align=\"center\">\\(125\\%\\) of \\(28\\) is \\(35\\).<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1166494591280\">Remember that a percent over \\(100\\) is a number greater than \\(1\\). We found that \\(\\text{125\\%}\\) of \\(28\\) is \\(35\\), which is greater than \\(28\\).<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1546239\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1304809\" data-type=\"exercise\">\n<div id=\"fs-id1768687\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1546239\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1304809\" data-type=\"exercise\">\n<div id=\"fs-id1768687\" data-type=\"problem\">\n<p id=\"fs-id1166482688666\">\\(\\text{150\\%}\\) of \\(78\\) is what number?<\/p>\n\n<\/div>\n<div id=\"fs-id1166497311389\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1472683\">117<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1510964\" data-type=\"problem\">\n<p id=\"fs-id1444663\">\\(\\text{175\\%}\\) of \\(72\\) is what number?<\/p>\n\n<\/div>\n<div id=\"fs-id1318867\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1166494736657\">126<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id858316\">In the next examples, we are asked to find the base.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 3<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1504170\" data-type=\"problem\">\n<p id=\"fs-id1064716\">Translate and solve: \\(36\\) is \\(\\text{75\\%}\\) of what number?<\/p>\n\n<\/div>\n<div id=\"fs-id1332354\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468657670\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question '36 is 75% of what number?' Translate the words into an equation, writing 36 as 36, representing the word 'is' with an equals sign, writing 75% as 0.75, representing the word 'of' with a multiplication dot, and letting the variable b be equal to the number. The result is the equation 36 = 0.75 \u00b7 b. Divide both sides of the equation by 0.75. Simplify. The result is 48 = b. 36 is 75% of 48.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Translate. Let \\(b=\\) the number.<\/td>\n<td><span id=\"eip-id1168467293894\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_005_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by 0.75.<\/td>\n<td><span id=\"eip-id1168468229155\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_005_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1168468228961\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_005_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166497435587\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1558801\" data-type=\"exercise\">\n<div id=\"fs-id1858532\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166497435587\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1558801\" data-type=\"exercise\">\n<div id=\"fs-id1858532\" data-type=\"problem\">\n<p id=\"fs-id1166491270654\">\\(17\\) is \\(\\text{25\\%}\\) of what number?<\/p>\n\n<\/div>\n<div id=\"fs-id1485863\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1491967\">68<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166498049903\" data-type=\"problem\">\n<p id=\"fs-id1513946\">\\(40\\) is \\(\\text{62.5\\%}\\) of what number?<\/p>\n\n<\/div>\n<div id=\"fs-id1166491249101\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1473410\">64<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1460621\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166476814982\" data-type=\"exercise\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 4<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1305055\" data-type=\"problem\">\n<p id=\"fs-id1454741\">\\(\\text{6.5\\%}\\) of what number is \\(\\text{\\$1.17}?\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1494848\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168466772915\" style=\"width: 100%;\" summary=\"The figure shows the steps to translate the question '6.5% of what number is .17?' Translate the words into an equation, writing 6.5% as 0.065, representing the word 'of' with a multiplication dot, letting the variable b be equal to the number, representing the word 'is' with an equals sign, and writing .17 as 1.17. The result is the equation 0.065 \u00b7 n= 1.17. Divide both sides of the equation by 0.065. Simplify. The result is n = 18. 6.5% of 8 is .17.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Translate. Let \\(b=\\) the number.<\/td>\n<td><span id=\"eip-id1168466426339\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_006_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by 0.065.<\/td>\n<td><span id=\"eip-id1168467581734\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_006_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1168468668606\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_006_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1505034\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1946839\" data-type=\"exercise\">\n<div id=\"fs-id1166493279859\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1505034\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1946839\" data-type=\"exercise\">\n<div id=\"fs-id1166493279859\" data-type=\"problem\">\n<p id=\"fs-id1558614\">\\(\\text{7.5\\%}\\) of what number is \\(\\text{\\$1.95}?\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1547007\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1538518\">\\$26<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1559975\" data-type=\"problem\">\n<p id=\"fs-id1471572\">\\(\\text{8.5\\%}\\) of what number is \\(\\text{\\$3.06}?\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1494147\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1503249\">\\$36<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1477702\">In the next examples, we will solve for the percent.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 5<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166497193482\" data-type=\"problem\">\n<p id=\"fs-id1166491425723\">What percent of \\(36\\) is \\(9?\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1490888\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168467247493\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question 'what percent of 36 is 9?' Translate the words into algebra, letting the variable p be equal to the percent, representing the word 'of' with a multiplication dot, writing 36 as 36, representing the word 'is' with an equals sign, and writing 9 as 9. The result is the equation p times 36 is equal to 9. Divide both sides of the equation by 36. Simplify. The result is p is equal to one-fourth. Convert the fraction to decimal form. The result is p is equal to 0.25. Convert the decimal to a percent. The result is p is equal to 25%. 25% of 36 is 9.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Translate into algebra. Let \\(p=\\) the percent.<\/td>\n<td><span id=\"eip-id1168467173158\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_007_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide by 36.<\/td>\n<td><span id=\"eip-id1168468246128\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_007_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1168468232764\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_007_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert to decimal form.<\/td>\n<td><span id=\"eip-id1168467140378\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_007_img-04.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert to percent.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1168468649399\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_007_img-05.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166478988508\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1242257\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166478988508\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1242257\" data-type=\"problem\">\n<p id=\"fs-id1443673\">What percent of \\(76\\) is \\(57?\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1723596\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1166493761825\">75%<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1730241\" data-type=\"problem\">\n<p id=\"fs-id1466995\">What percent of \\(120\\) is \\(96?\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1266566\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1546460\">80%<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166491426837\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1217227\" data-type=\"exercise\">\n<div id=\"fs-id1266566\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 6<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1682198\" data-type=\"problem\">\n<p id=\"fs-id1505670\">\\(144\\) is what percent of \\(96?\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1504499\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468323289\" style=\"width: 100%;\" summary=\"The figure shows the steps to translate the question '144 is what percent of 96?' The first step is to translate the words into algebra, writing 144 as 144, representing the word 'is' with an equals sign, letting the variable p be equal to the percent, representing the word 'of' with a multiplication dot, and writing 96 as 96. The result is the equation 144 = p \u00b7 96. The second step is to divide both sides of the equation by 96. The third step is to simplify. The result is 1.5 = p. The fourth step is to convert the decimal to a percent. 150% = p. 144 is 150% of 96.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Translate into algebra. Let \\(p=\\) the percent.<\/td>\n<td><span id=\"eip-id1168467260045\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_008_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide by 96.<\/td>\n<td><span id=\"eip-id1168469838590\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_008_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1168466144940\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_008_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert to percent.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1168466120192\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_008_img-04.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1230746\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166497145957\" data-type=\"exercise\">\n<div id=\"fs-id1476151\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1230746\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166497145957\" data-type=\"exercise\">\n<div id=\"fs-id1476151\" data-type=\"problem\">\n<p id=\"fs-id1166491298449\">\\(110\\) is what percent of \\(88?\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1166498433697\" data-type=\"solution\"><details><summary>Show answer<\/summary>125%\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1393036\" data-type=\"problem\">\n<p id=\"fs-id1166490859194\">\\(126\\) is what percent of \\(72?\\)<\/p>\n\n<\/div>\n<div id=\"fs-id1033095\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1166497354822\">175%<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Solve Applications of Percent<\/h1>\n<p id=\"fs-id1945999\">Many applications of percent occur in our daily lives, such as tips, sales tax, discount, and interest. To solve these applications we'll translate to a basic percent equation, just like those we solved in the previous examples in this section. Once you translate the sentence into a percent equation, you know how to solve it.<\/p>\n<p id=\"fs-id1166490920916\">We will update the strategy we used in our earlier applications to include equations now. Notice that we will translate a sentence into an equation.<\/p>\n\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Solve an Application<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<ol id=\"eip-id1168467261262\" class=\"stepwise\" type=\"1\">\n \t<li>Identify what you are asked to find and choose a variable to represent it.<\/li>\n \t<li>Write a sentence that gives the information to find it.<\/li>\n \t<li>Translate the sentence into an equation.<\/li>\n \t<li>Solve the equation using good algebra techniques.<\/li>\n \t<li>Check the answer in the problem and make sure it makes sense.<\/li>\n \t<li>Write a complete sentence that answers the question.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p id=\"fs-id1397980\">Now that we have the strategy to refer to, and have practiced solving basic percent equations, we are ready to solve percent applications. Be sure to ask yourself if your final answer makes sense\u2014since many of the applications we'll solve involve everyday situations, you can rely on your own experience.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 7<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1559643\" data-type=\"problem\">\n<p id=\"fs-id1166491248914\">Dezohn and his girlfriend enjoyed a dinner at a restaurant, and the bill was \\(\\text{\\$68.50}\\). They want to leave an \\(\\text{18\\%}\\) tip. If the tip will be \\(\\text{18\\%}\\) of the total bill, how much should the tip be?<\/p>\n\n<\/div>\n<div id=\"fs-id1166492881878\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468710061\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question '144 is what percent of 96?' The first step is to translate the words into algebra, writing 144 as 144, representing the word 'is' with an equals sign, letting the variable p be equal to the percent, representing the word 'of' with a multiplication dot, and writing 96 as 96. The result is the equation 144 = p \u00b7 96. The second step is to divide both sides of the equation by 96. The third step is to simplify. The result is 1.5 = p. The fourth step is to convert the decimal to a percent. 150% = p. 144 is 150% of 96.\" data-label=\"\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>The amount of the tip<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let \\(t=\\) amount of tip.<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence that give the information to find it.<\/td>\n<td>The tip is 18% of the total bill.<\/td>\n<\/tr>\n<tr>\n<td>Translate the sentence into an equation.<\/td>\n<td><span id=\"eip-id1168468315742\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_009_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td><span id=\"eip-id1168467199315\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_009_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Check. Is this answer reasonable?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>If we approximate the bill to \\$70 and the percent to 20%, we would have a tip of \\$14.\nSo a tip of \\$12.33 seems reasonable.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>The couple should leave a tip of \\$12.33.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166490872653\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166490757076\" data-type=\"exercise\">\n<div id=\"fs-id1582010\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166490872653\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166490757076\" data-type=\"exercise\">\n<div id=\"fs-id1582010\" data-type=\"problem\">\n<p id=\"fs-id1486591\">Cierra and her sister enjoyed a special dinner in a restaurant, and the bill was \\(\\text{\\$81.50}\\). If she wants to leave \\(\\text{18\\%}\\) of the total bill as her tip, how much should she leave?<\/p>\n\n<\/div>\n<div id=\"fs-id1547795\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1536515\">\\$14.67<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166490773726\" data-type=\"problem\">\n<p id=\"fs-id1166493760656\">Kimngoc had lunch at her favorite restaurant. She wants to leave \\(\\text{15\\%}\\) of the total bill as her tip. If her bill was \\(\\text{\\$14.40}\\), how much will she leave for the tip?<\/p>\n\n<\/div>\n<div id=\"fs-id1166493760712\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1504779\">\\$2.16<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1468627\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1507526\" data-type=\"exercise\">\n<div id=\"fs-id1166493760712\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 8<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1456178\" data-type=\"problem\">\n<p id=\"fs-id1166493277426\">The label on Masao's breakfast cereal said that one serving of cereal provides \\(85\\) milligrams (mg) of potassium, which is \\(\\text{2\\%}\\) of the recommended daily amount. What is the total recommended daily amount of potassium?<\/p>\n<span id=\"fs-id1534834\" data-type=\"media\" data-alt=\"The figures shows the nutrition facts for cereal.\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_002.jpg\" alt=\"The figures shows the nutrition facts for cereal.\" data-media-type=\"image\/jpeg\"><\/span>\n\n<\/div>\n<div id=\"fs-id1387769\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468583805\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to solve the percent problem. Determine what you are asked to find. That is the total amount of potassium recommended. Choose a variable to represent the total amount of potassium. Let the variable a be equal to the total amount of potassium. Write a sentence that gives the information to find the total amount of the potassium. That sentence is '85 milligrams is 2% of the total amount.' Translate the sentence into an equation, writing 85 milligrams as 85, representing the word 'is' with an equals sign, writing 2% as 0.02, representing the word 'of' with a multiplication dot, and writing a as a. The result is the equation 85 = 0.02 \u00b7 a. Divide both sides of the equation by 0.02. Simplify. The result is the equation 4,250 = a. Write a complete sentence that answers the question. The sentence is 'The amount of potassium that is recommended is 4,250 milligrams. Check the reasonableness of the answer. It is reasonable because 2% is a small percent and 85 is a small part of 4,250.\" data-label=\"\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>the total amount of potassium recommended<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let \\(a=\\) total amount of potassium.<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence that gives the information to find it.<\/td>\n<td>85 mg is 2% of the total amount.<\/td>\n<\/tr>\n<tr>\n<td>Translate the sentence into an equation.<\/td>\n<td><span id=\"eip-id1168468567974\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_010_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by 0.02.<\/td>\n<td><span id=\"eip-id1168467307104\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_010_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1168467174892\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_010_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Check: Is this answer reasonable?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Yes. 2% is a small percent and 85 is a small part of 4,250.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>The amount of potassium that is recommended is 4250 mg.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1517980\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1520521\" data-type=\"exercise\">\n<div id=\"fs-id1166479044410\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 8.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1517980\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1520521\" data-type=\"exercise\">\n<div id=\"fs-id1166479044410\" data-type=\"problem\">\n<p id=\"fs-id1166491270674\">One serving of wheat square cereal has \\(7\\) grams of fiber, which is \\(\\text{29\\%}\\) of the recommended daily amount. What is the total recommended daily amount of fiber?<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1547278\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1538465\" data-type=\"exercise\">\n<div id=\"fs-id1343176\" data-type=\"problem\"><\/div>\n<div id=\"fs-id1166490921064\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1166479094534\">24.1 grams<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 8.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1343176\" data-type=\"problem\">\n<p id=\"fs-id1469851\">One serving of rice cereal has \\(190\\) mg of sodium, which is \\(\\text{8\\%}\\) of the recommended daily amount. What is the total recommended daily amount of sodium?<\/p>\n\n<\/div>\n<div id=\"fs-id1166490921064\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1166479094534\">2,375 mg<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1547278\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1538465\" data-type=\"exercise\">\n<div id=\"fs-id1166490921064\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 9<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1856219\">Mitzi received some gourmet brownies as a gift. The wrapper said each brownie was \\(480\\) calories, and had \\(240\\) calories of fat. What percent of the total calories in each brownie comes from fat?<\/p>\n\n<\/div>\n<div id=\"fs-id1858492\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168466156738\" style=\"width: 100%;\" summary=\"The figure shows the steps to solve the percent problem. Determine what you are asked to find. That is the percent of the total calories from fat. Choose a variable to represent the percent of the total calories from fat. Let the variable p be equal to percent from fat. Write a sentence that gives the information to find the percent of the total calories from fat. That sentence is 'What percent of 480 is 240?' Translate the sentence into an equation, writing letting the percent be equal to p, representing the word 'of' with a multiplication dot, writing 480 as 480, representing the word 'is' with an equals sign, and writing 240 as 240. The result is the equation p \u00b7 480 = 240. Divide both sides of the equation by 480. Simplify. The result is p = 0.5. Convert the decimal to percent form. The result is p = 50%. Write a complete sentence that answers the question. The sentence is 'Of the total calories in each brownie, 50% is fat. Check the reasonableness of the answer. 240 is half of 480, so 50% makes sense.\" data-label=\"\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>the percent of the total calories from fat<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let \\(p=\\) percent from fat.<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence that gives the information to find it.<\/td>\n<td>What percent of 480 is 240?<\/td>\n<\/tr>\n<tr>\n<td>Translate the sentence into an equation.<\/td>\n<td><span id=\"eip-id1168466826326\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_011_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by 480.<\/td>\n<td><span id=\"eip-id1168467269434\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_011_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1168467598979\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_011_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert to percent form.<\/td>\n<td><span id=\"eip-id1168466071897\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_011_img-04.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Check. Is this answer reasonable?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Yes. 240 is half of 480, so 50% makes sense.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>Of the total calories in each brownie, 50% is fat.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166494759309\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1485170\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 9.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166494759309\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1485170\" data-type=\"problem\">\n<p id=\"fs-id1708929\">Veronica is planning to make muffins from a mix. The package says each muffin will be \\(230\\) calories and \\(60\\) calories will be from fat. What percent of the total calories is from fat? (Round to the nearest whole percent.)<\/p>\n\n<\/div>\n<div id=\"fs-id1357550\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id2055236\">26%<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercises<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1295108\" data-type=\"problem\">\n<p id=\"fs-id1519735\">The brownie mix Ricardo plans to use says that each brownie will be \\(190\\) calories, and \\(70\\) calories are from fat. What percent of the total calories are from fat?<\/p>\n\n<\/div>\n<div id=\"fs-id1166497442945\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1166493274061\">37%<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1>Find Percent Increase and Percent Decrease<\/h1>\n<p id=\"fs-id1556830\">People in the media often talk about how much an amount has increased or decreased over a certain period of time. They usually express this increase or decrease as a <span class=\"no-emphasis\" data-type=\"term\">percent<\/span>.<\/p>\nTo find the percent increase, first we find the amount of increase, which is the difference between the new amount and the original amount. Then we find what percent the amount of increase is of the original amount.\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Find Percent Increase<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<p id=\"fs-id1475724\">Step 1. Find the amount of increase.<\/p>\n\n<ul id=\"fs-id1166490916546\" data-display=\"block\">\n \t<li>\\(\\text{increase}=\\text{new amount}-\\text{original amount}\\)<\/li>\n<\/ul>\n<p id=\"fs-id1509018\">Step 2. Find the percent increase as a percent of the original amount.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"fs-id1166491952512\" class=\"howto\" data-type=\"note\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 10<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1730415\" data-type=\"problem\">\n<p id=\"fs-id1166479093415\">In \\(2017\\), university tuition fees in Canada for domestic students increased from \\(\\text{\\$26}\\) per school year to \\(\\text{\\$36}\\) per school year. Find the percent increase. (Round to the nearest tenth of a percent.)<\/p>\n\n<\/div>\n<div id=\"fs-id1166489098559\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168466580305\" style=\"width: 100%;\" summary=\"The figure shows the steps to solve the percent problem. Determine what you are asked to find. That is the percent increase. Choose a variable to represent the percent increase. Let the variable p be equal to percent increase. Find the amount of the increase. 36, the new amount, minus, 26, the original amount, is equal to 10, the amount of the increase. Find the percent increase. The increase is what percent of the original amount? Translate it into an equation, writing 10 as 10, representing the word 'is' with an equals sign, letting p be equal to the percent, representing the word 'of' with a multiplication dot, and writing 26 as 26. The result is the equation 10 is equal to p times 26. Divide both sides by 26. Round the nearest thousandth. The result is 0.384 is equal to p. Convert the decimal to percent form. 38.4% is equal to p. Write the answer as a complete sentence. The new fees represent a 38.4% increase over the old fees.\" data-label=\"\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>the percent increase<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let \\(p=\\) percent.<\/td>\n<\/tr>\n<tr>\n<td>Find the amount of increase.<\/td>\n<td><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_012_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/td>\n<\/tr>\n<tr>\n<td>Find the percent increase.<\/td>\n<td>The increase is what percent of the original amount?<\/td>\n<\/tr>\n<tr>\n<td>Translate to an equation.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by 26.<\/td>\n<td><span id=\"eip-id1168468670909\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_012_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Round to the nearest thousandth.<\/td>\n<td><span id=\"eip-id1168468290605\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_012_img-04.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert to percent form.<\/td>\n<td><span id=\"eip-id1168467114350\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_012_img-05.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence.<\/td>\n<td>The new fees represent a 38.4\\% increase over the old fees.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166492018739\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1479062\" data-type=\"exercise\">\n<div id=\"fs-id1446248\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 10.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166492018739\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1479062\" data-type=\"exercise\">\n<div id=\"fs-id1446248\" data-type=\"problem\">\n<p id=\"fs-id1440483\">In \\(2011\\), the IRS increased the deductible mileage cost to \\(55.5\\) cents from \\(51\\) cents. Find the percent increase. (Round to the nearest tenth of a percent.)<\/p>\n\n<\/div>\n<div id=\"fs-id1166491054164\" data-type=\"solution\"><details><summary>Show answer<\/summary>\n<p id=\"fs-id1323972\">8.8%<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 10.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1314764\" data-type=\"problem\">\n\nIn \\(1984\\), the standard bus fare in Vancouver was \\(\\text{\\$1.25}\\). In \\(2008\\), the standard bus fare was \\(\\text{\\$2.50}\\). Find the percent increase. (Round to the nearest tenth of a percent.)\n\n<\/div>\n<div id=\"fs-id1835796\" data-type=\"solution\"><details><summary>Show answer<\/summary>50%\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1539062\">Finding the percent decrease is very similar to finding the percent increase, but now the amount of decrease is the difference between the original amount and the final amount. Then we find what percent the amount of decrease is of the original amount.<\/p>\n\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Find Percent Decrease<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<ol id=\"eip-id1168467275132\" class=\"stepwise\" type=\"1\">\n \t<li>Find the amount of decrease.\n<ul id=\"eip-id1168467275136\">\n \t<li>\\(\\text{decrease}=\\text{original amount}-\\text{new amount}\\)<\/li>\n<\/ul>\n<\/li>\n \t<li>Find the percent decrease as a percent of the original amount.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<div id=\"fs-id1456109\" class=\"howto\" data-type=\"note\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 11<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1454728\" data-type=\"problem\">\n\nThe average price of a gallon of gas in one city in June \\(2014\\) was \\(\\text{\\$3.71}\\). The average price in that city in July was \\(\\text{\\$3.64}\\). Find the percent decrease.\n\n<\/div>\n<div id=\"fs-id1505937\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468530154\" style=\"width: 100%;\" summary=\"The figure shows the steps to solve the percent problem. Determine what you are asked to find. That is the percent decrease. Choose a variable to represent the percent decrease. Let the variable p be equal to percent decrease. Find the amount of the decrease. 3.71, the original amount, minus, 3.64, the new amount, is equal to 0.07, the amount of the decrease. Find the percent decrease. The decrease is what percent of the original amount? Translate it into an equation, writing 0.07 as 0.07, representing the word 'is' with an equals sign, letting p be equal to the percent, representing the word 'of' with a multiplication dot, and writing 3.71 as 3.71. The result is the equation 0.07 = p \u00b7 3.71. Divide both sides by 3.71. Round to the nearest thousandth. The result is 0.019 is equal to p. Convert the decimal to percent form. 1.9% = p. Write the answer as a complete sentence. The price of gas decreased 1.9%.\" data-label=\"\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>the percent decrease<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let \\(p=\\) percent.<\/td>\n<\/tr>\n<tr>\n<td>Find the amount of decrease.<\/td>\n<td><span id=\"eip-id1168468691510\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_013_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Find the percent of decrease.<\/td>\n<td>The decrease is what percent of the original amount?<\/td>\n<\/tr>\n<tr>\n<td>Translate to an equation.<\/td>\n<td><span id=\"eip-id1168467355827\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_013_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by 3.71.<\/td>\n<td><span id=\"eip-id1168466222443\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_013_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Round to the nearest thousandth.<\/td>\n<td><span id=\"eip-id1168466064946\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_013_img-04.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert to percent form.<\/td>\n<td><span id=\"eip-id1168469826216\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_013_img-05.png\" alt=\".\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence.<\/td>\n<td>The price of gas decreased 1.9%.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 11.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1326835\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1477714\" data-type=\"exercise\">\n<div id=\"fs-id1478816\" data-type=\"problem\">\n<p id=\"fs-id1166492788432\">The population of one city was about \\(672,000\\) in \\(2010\\). The population of the city is projected to be about \\(630,000\\) in \\(2020\\). Find the percent decrease. (Round to the nearest tenth of a percent.)<\/p>\n\n<\/div>\n<div id=\"fs-id1454936\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1166493761683\">6.3%<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 11.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166492691082\" data-type=\"problem\">\n<p id=\"fs-id1682071\">Last year Sheila's salary was \\(\\text{\\$42,000}\\). Because of furlough days, this year her salary was \\(\\text{\\$37,800}\\). Find the percent decrease. (Round to the nearest tenth of a percent.)<\/p>\n\n<\/div>\n<div id=\"fs-id1459918\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\n<p id=\"fs-id1739117\">10%<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1511804\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166489101976\" data-type=\"exercise\">\n<div id=\"fs-id1459918\" data-type=\"solution\">\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Access Additional Online Resources<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<ul>\n \t<li><a href=\"http:\/\/www.openstax.org\/l\/24percentincdec\">Percent Increase and Percent Decrease Visualization<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1>Key Concepts<\/h1>\n<ul id=\"fs-id1377198\" data-bullet-style=\"bullet\">\n \t<li><strong>Solve an application.<\/strong>\n<ol id=\"eip-id1170172919942\" class=\"stepwise\" type=\"1\">\n \t<li>Identify what you are asked to find and choose a variable to represent it.<\/li>\n \t<li>Write a sentence that gives the information to find it.<\/li>\n \t<li>Translate the sentence into an equation.<\/li>\n \t<li>Solve the equation using good algebra techniques.<\/li>\n \t<li>Write a complete sentence that answers the question.<\/li>\n \t<li>Check the answer in the problem and make sure it makes sense.<\/li>\n<\/ol>\n<\/li>\n \t<li><strong>Find percent increase.<\/strong>\n<ol id=\"eip-id1170173488767\" class=\"stepwise\" type=\"1\">\n \t<li>Find the amount of increase:\n\\(\\text{increase}=\\text{new amount}-\\text{original amount}\\)<\/li>\n \t<li>Find the percent increase as a percent of the original amount.<\/li>\n<\/ol>\n<\/li>\n \t<li><strong>Find percent decrease.<\/strong>\n<ol id=\"eip-id1170154414620\" class=\"stepwise\" type=\"1\">\n \t<li>Find the amount of decrease.\n\\(\\text{decrease}=\\text{original amount}-\\text{new amount}\\)<\/li>\n \t<li>Find the percent decrease as a percent of the original amount.<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<h1 data-type=\"glossary-title\">Glossary<\/h1>\n<div class=\"textbox shaded\">\n<dl id=\"fs-id1166493279699\">\n \t<dt>percent increase<\/dt>\n \t<dd id=\"fs-id1166492075980\">The percent increase is the percent the amount of increase is of the original amount.<\/dd>\n<\/dl>\n<dl id=\"fs-id1752340\">\n \t<dt>percent decrease<\/dt>\n \t<dd id=\"fs-id1358142\">The percent decrease is the percent the amount of decrease is of the original amount.<\/dd>\n<\/dl>\n<\/div>\n<h1>Practice Makes Perfect<\/h1>\n<h2 id=\"fs-id1491191\" style=\"text-align: left;\">Translate and Solve Basic Percent Equations<\/h2>\n<p id=\"eip-92\">In the following exercises, translate and solve.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%; height: 266px;\" border=\"0\">\n<tbody>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">1. What number is \\(\\text{45\\%}\\) of \\(120?\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">2. What number is \\(\\text{65\\%}\\) of \\(100?\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">3. What number is \\(\\text{24\\%}\\) of \\(112?\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">4. What number is \\(\\text{36\\%}\\) of \\(124?\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">5. \\(\\text{250\\%}\\) of \\(65\\) is what number?<\/td>\n<td style=\"width: 50%; height: 14px;\">6. \\(\\text{150\\%}\\) of \\(90\\) is what number?<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">7. \\(\\text{800\\%}\\) of \\(2,250\\) is what number?<\/td>\n<td style=\"width: 50%; height: 14px;\">8. \\(\\text{600\\%}\\) of \\(1,740\\) is what number?<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">9. \\(28\\) is \\(\\text{25\\%}\\) of what number?<\/td>\n<td style=\"width: 50%; height: 14px;\">10. \\(36\\) is \\(\\text{25\\%}\\) of what number?<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">11. \\(81\\) is \\(\\text{75\\%}\\) of what number?<\/td>\n<td style=\"width: 50%; height: 14px;\">12. \\(93\\) is \\(\\text{75\\%}\\) of what number?<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">13. \\(\\text{8.2\\%}\\) of what number is \\(\\text{\\$2.87}?\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">14. \\(\\text{6.4\\%}\\) of what number is \\(\\text{\\$2.88}?\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">15. \\(\\text{11.5\\%}\\) of what number is \\(\\text{\\$108.10}?\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">16. \\(\\text{12.3\\%}\\) of what number is \\(\\text{\\$92.25}?\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">17. What percent of \\(260\\) is \\(78?\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">18. What percent of \\(215\\) is \\(86?\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">19. What percent of \\(1,500\\) is \\(540?\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">20. What percent of \\(1,800\\) is \\(846?\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">21. \\(30\\) is what percent of \\(20?\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">22. \\(50\\) is what percent of \\(40?\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">23. \\(840\\) is what percent of \\(480?\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">24. \\(790\\) is what percent of \\(395?\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: left;\">Solve Applications of Percents<\/h2>\n<p id=\"eip-769\">In the following exercises, solve the applications of percents.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">25. Geneva treated her parents to dinner at their favorite restaurant. The bill was \\(\\text{\\$74.25}\\). She wants to leave \\(\\text{16\\%}\\) of the total bill as a tip. How much should the tip be?<\/td>\n<td style=\"width: 50%;\">26. When Hiro and his co-workers had lunch at a restaurant the bill was \\(\\text{\\$90.50}\\). They want to leave \\(\\text{18\\%}\\) of the total bill as a tip. How much should the tip be?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">27. Trong has \\(\\text{12\\%}\\) of each paycheck automatically deposited to his savings account. His last paycheck was \\(\\text{\\$2,165}\\). How much money was deposited to Trong's savings account?<\/td>\n<td style=\"width: 50%;\">28. Cherise deposits \\(\\text{8\\%}\\) of each paycheck into her retirement account. Her last paycheck was \\(\\text{\\$1,485}\\). How much did Cherise deposit into her retirement account?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">29. One serving of oatmeal has \\(8\\) grams of fiber, which is \\(\\text{33\\%}\\) of the recommended daily amount. What is the total recommended daily amount of fiber?<\/td>\n<td style=\"width: 50%;\">30. One serving of trail mix has \\(67\\) grams of carbohydrates, which is \\(\\text{22\\%}\\) of the recommended daily amount. What is the total recommended daily amount of carbohydrates?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">31. A bacon cheeseburger at a popular fast food restaurant contains \\(2,070\\) milligrams (mg) of sodium, which is \\(\\text{86\\%}\\) of the recommended daily amount. What is the total recommended daily amount of sodium?<\/td>\n<td style=\"width: 50%;\">32. A grilled chicken salad at a popular fast food restaurant contains \\(650\\) milligrams (mg) of sodium, which is \\(\\text{27\\%}\\) of the recommended daily amount. What is the total recommended daily amount of sodium?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">33. The nutrition fact sheet at a fast food restaurant says the fish sandwich has \\(380\\) calories, and \\(171\\) calories are from fat. What percent of the total calories is from fat?<\/td>\n<td style=\"width: 50%;\">34. The nutrition fact sheet at a fast food restaurant says a small portion of chicken nuggets has \\(190\\) calories, and \\(114\\) calories are from fat. What percent of the total calories is from fat?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">35. Emma gets paid \\(\\text{\\$3,000}\\) per month. She pays \\(\\text{\\$750}\\) a month for rent. What percent of her monthly pay goes to rent?<\/td>\n<td style=\"width: 50%;\">36. Dimple gets paid \\(\\text{\\$3,200}\\) per month. She pays \\(\\text{\\$960}\\) a month for rent. What percent of her monthly pay goes to rent?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1166490854342\">Find Percent Increase and Percent Decrease<\/h2>\n<p id=\"eip-355\">In the following exercises, find the percent increase or percent decrease.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">37. Tamanika got a raise in her hourly pay, from \\(\\text{\\$15.50}\\) to \\(\\text{\\$17.55}\\). Find the percent increase.<\/td>\n<td style=\"width: 50%;\">38. Ayodele got a raise in her hourly pay, from \\(\\text{\\$24.50}\\) to \\(\\text{\\$25.48}\\). Find the percent increase.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">39. According to Statistics Canada, annual international graduate student fees in Canada rose from about \\(\\text{\\$13,000}\\) in \\(2015\\) to about \\(\\text{\\$15,000}\\) in \\(2019\\). Find the percent increase.<\/td>\n<td style=\"width: 50%;\">40. The price of a share of one stock rose from \\(\\text{\\$12.50}\\) to \\(\\text{\\$50}\\). Find the percent increase.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">41. According to Time magazine \\(\\left(\\text{7\/19\/2011}\\right)\\) annual global seafood consumption rose from \\(22\\) pounds per person in \\(1960\\) to \\(38\\) pounds per person today. Find the percent increase. (Round to the nearest tenth of a percent.)<\/td>\n<td style=\"width: 50%;\">42. In one month, the median home price in the Northeast rose from \\(\\text{\\$225,400}\\) to \\(\\text{\\$241,500}\\). Find the percent increase. (Round to the nearest tenth of a percent.)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">43. A grocery store reduced the price of a loaf of bread from \\(\\text{\\$2.80}\\) to \\(\\text{\\$2.73}\\). Find the percent decrease.<\/td>\n<td style=\"width: 50%;\">44. The price of a share of one stock fell from \\(\\text{\\$8.75}\\) to \\(\\text{\\$8.54}\\). Find the percent decrease.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">45. Hernando's salary was \\(\\text{\\$49,500}\\) last year. This year his salary was cut to \\(\\text{\\$44,055}\\). Find the percent decrease.<\/td>\n<td style=\"width: 50%;\">46. From \\(2000\\) to \\(2010\\), the population of Detroit fell from about \\(951,000\\) to about \\(714,000\\). Find the percent decrease. (Round to the nearest tenth of a percent.)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">47. In one month, the median home price in the West fell from \\(\\text{\\$203,400}\\) to \\(\\text{\\$192,300}\\). Find the percent decrease. (Round to the nearest tenth of a percent.)<\/td>\n<td style=\"width: 50%;\">48. Sales of video games and consoles fell from \\(\\text{\\$1,150}\\) million to \\(\\text{\\$1,030}\\) million in one year. Find the percent decrease. (Round to the nearest tenth of a percent.)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Everyday Math<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">49.<strong data-effect=\"bold\"> Tipping<\/strong> At the campus coffee cart, a medium coffee costs \\(\\text{\\$1.65}\\). MaryAnne brings \\(\\text{\\$2.00}\\) with her when she buys a cup of coffee and leaves the change as a tip. What percent tip does she leave?<\/td>\n<td style=\"width: 50%;\">50.<strong data-effect=\"bold\"> Late Fees<\/strong> Alison was late paying her credit card bill of \\(\\text{\\$249}\\). She was charged a \\(\\text{5\\%}\\) late fee. What was the amount of the late fee?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Writing Exercises<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">51. Without solving the problem \\(\u201c44\\) is \\(\\text{80\\%}\\) of what number\u201d, think about what the solution might be. Should it be a number that is greater than \\(44\\) or less than \\(44?\\) Explain your reasoning.<\/td>\n<td style=\"width: 50%;\">52. Without solving the problem \u201cWhat is \\(\\text{20\\%}\\) of \\(300?\u201d\\) think about what the solution might be. Should it be a number that is greater than \\(300\\) or less than \\(300?\\) Explain your reasoning.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">53. After returning from vacation, Alex said he should have packed \\(\\text{50\\%}\\) fewer shorts and \\(\\text{200\\%}\\) more shirts. Explain what Alex meant.<\/td>\n<td style=\"width: 50%;\">54. Because of road construction in one city, commuters were advised to plan their Monday morning commute to take \\(\\text{150\\%}\\) of their usual commuting time. Explain what this means.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1 style=\"text-align: left;\">Answers<\/h1>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 33.3333%;\">1.\u00a054<\/td>\n<td style=\"width: 33.3333%;\">3. 26.88<\/td>\n<td style=\"width: 33.3333%;\">5. 162.5<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">7. 18,000<\/td>\n<td style=\"width: 33.3333%;\">9. 112<\/td>\n<td style=\"width: 33.3333%;\">11. 108<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">13. \\$35<\/td>\n<td style=\"width: 33.3333%;\">15. \\$940<\/td>\n<td style=\"width: 33.3333%;\">17. 30%<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">19. 36%<\/td>\n<td style=\"width: 33.3333%;\">21. 150%<\/td>\n<td style=\"width: 33.3333%;\">23. 175%<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">25. \\$11.88<\/td>\n<td style=\"width: 33.3333%;\">27. \\$259.80<\/td>\n<td style=\"width: 33.3333%;\">29. 24.2 grams<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">31. 2,407 grams<\/td>\n<td style=\"width: 33.3333%;\">33. 45%<\/td>\n<td style=\"width: 33.3333%;\">35. 25%<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">37. 13.2%<\/td>\n<td style=\"width: 33.3333%;\">39. 15%<\/td>\n<td style=\"width: 33.3333%;\">41. 72.7%<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">43. 2.5%<\/td>\n<td style=\"width: 33.3333%;\">45. 11%<\/td>\n<td style=\"width: 33.3333%;\">47. 5.5%<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">49. 21.2%<\/td>\n<td style=\"width: 33.3333%;\">51. The original number should be greater than 44.80% is less than 100%, so when 80% is converted to a decimal and multiplied to the base in the percent equation, the resulting amount of 44 is less. 44 is only the larger number in cases where the percent is greater than 100%.<\/td>\n<td style=\"width: 33.3333%;\">53.\u00a0Alex should have packed half as many shorts and twice as many shirts.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Attributions<\/h1>\nThis chapter has been adapted from \u201cSolve General Applications of Percent\u201d in <a href=\"https:\/\/openstax.org\/details\/books\/prealgebra-2e\"><em>Prealgebra<\/em><\/a> (OpenStax) by Lynn Marecek, MaryAnne Anthony-Smith, and Andrea Honeycutt Mathis, which is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY 4.0 Licence<\/a>. Adapted by Izabela Mazur. See the Copyright page for more information.","rendered":"<div class=\"textbox textbox--learning-objectives\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Learning Objectives<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>By the end of this section, you will be able to:<\/p>\n<ul>\n<li>Translate and solve basic percent equations<\/li>\n<li>Solve applications of percent<\/li>\n<li>Find percent increase and percent decrease<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h1>Translate and Solve Basic Percent Equations<\/h1>\n<p id=\"fs-id1471476\">In the last section, we solved percent problems by setting them up as proportions. That is the best method available when you did not have the tools of algebra. Now, in this section we will translate word sentences into algebraic equations, and then solve the percent equations.<\/p>\n<p id=\"fs-id1474559\">We&#8217;ll look at a common application of percent\u2014tips to a server at a restaurant\u2014to see how to set up a basic percent application.<\/p>\n<p id=\"eip-636\">When Kim and her friends went on a road trip to Vancouver, they ate lunch at Marta&#8217;s Cafe Tower. The bill came to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9f6b5b8431e6619a3d07885bc95f4642_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#56;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"27\" style=\"vertical-align: -1px;\" \/>. They wanted to leave a <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3bfd8c599b970b0e4f4818295484697d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> tip. What amount would the tip be?<\/p>\n<p id=\"fs-id1166492771503\">To solve this, we want to find what <em data-effect=\"italics\">amount<\/em> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3bfd8c599b970b0e4f4818295484697d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9f6b5b8431e6619a3d07885bc95f4642_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#56;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"27\" style=\"vertical-align: -1px;\" \/>. The <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9f6b5b8431e6619a3d07885bc95f4642_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#56;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"27\" style=\"vertical-align: -1px;\" \/> is called the <em data-effect=\"italics\">base<\/em>. The amount of the tip would be <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b6441cd6e468ec9ef7ee7032237dc618_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#46;&#50;&#48;&#92;&#108;&#101;&#102;&#116;&#40;&#56;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\" \/>, or <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0a2c9882ed90b30fcf8ccaf75e1afa6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"27\" style=\"vertical-align: -1px;\" \/> See <a class=\"autogenerated-content\" href=\"#CNX_BMath_Figure_06_02_001\">(Figure 1)<\/a>. To find the amount of the tip, we multiplied the percent by the base.<\/p>\n<p>A <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3bfd8c599b970b0e4f4818295484697d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> tip for an <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9f6b5b8431e6619a3d07885bc95f4642_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#56;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"27\" style=\"vertical-align: -1px;\" \/> restaurant bill comes out to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0a2c9882ed90b30fcf8ccaf75e1afa6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"27\" style=\"vertical-align: -1px;\" \/>.<\/p>\n<div id=\"CNX_BMath_Figure_06_02_001\" class=\"bc-figure figure\">\n<div>\n<figure id=\"attachment_723\" aria-describedby=\"caption-attachment-723\" style=\"width: 383px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-723\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2020\/08\/Chapter4.3Figure1-300x255.png\" alt=\"\" width=\"383\" height=\"326\" srcset=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/uploads\/sites\/333\/2020\/08\/Chapter4.3Figure1-300x255.png 300w, https:\/\/opentextbc.ca\/introalgebra\/wp-content\/uploads\/sites\/333\/2020\/08\/Chapter4.3Figure1-768x652.png 768w, https:\/\/opentextbc.ca\/introalgebra\/wp-content\/uploads\/sites\/333\/2020\/08\/Chapter4.3Figure1-65x55.png 65w, https:\/\/opentextbc.ca\/introalgebra\/wp-content\/uploads\/sites\/333\/2020\/08\/Chapter4.3Figure1-225x191.png 225w, https:\/\/opentextbc.ca\/introalgebra\/wp-content\/uploads\/sites\/333\/2020\/08\/Chapter4.3Figure1-350x297.png 350w, https:\/\/opentextbc.ca\/introalgebra\/wp-content\/uploads\/sites\/333\/2020\/08\/Chapter4.3Figure1.png 999w\" sizes=\"auto, (max-width: 383px) 100vw, 383px\" \/><figcaption id=\"caption-attachment-723\" class=\"wp-caption-text\">Figure 1.(credit: Marta Oraniewicz)<\/figcaption><\/figure>\n<\/div>\n<\/div>\n<p id=\"fs-id1494005\">In the next examples, we will find the amount. We must be sure to change the given percent to a decimal when we translate the words into an equation.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id847865\" data-type=\"problem\">\n<p id=\"fs-id1484063\">What number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9678648ac08710f37fd6ec8463d22aa1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9409fb3097bbb0ca966818de15b8faf5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#48;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"26\" style=\"vertical-align: 0px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1452183\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168467117646\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question 'what number is 35% of 90?'. Translate the words into algebra, letting the variable n equal the number, representing the word 'is' with an equals sign, writing 35% as 0.35, representing the word 'of' with a multiplication dot, and writing 90 as 90. The result is the equation, n = 0.35 \u00b7 90. Multiply to find that n = 31.5. 31.5 is 35% of 90.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Translate into algebra. Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2b1223fe3e1ecfe745f4708e56464922_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#61;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"29\" style=\"vertical-align: 0px;\" \/>the number.<\/td>\n<td><span id=\"eip-id1168467170003\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_003_img-01-01.png\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td><span id=\"eip-id1144430\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_003_img-01-02.png\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-79fb71c169475ccca386af52bccf9f30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#49;&#46;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"31\" style=\"vertical-align: -1px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b1c0b785aec6aed63cbeacc27b5184b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#53;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5b5f1c3a0e1ca514e4e63519e4d0c016_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1432323\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1536999\" data-type=\"exercise\">\n<div id=\"fs-id1166491761008\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166491761008\" data-type=\"problem\">\n<p id=\"fs-id1454525\">What number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-bd9a2d7bba53ebd3eb2e8f2c8107a9e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#52;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-652be911d46de2678efff9bb5a7ceb67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#48;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"26\" style=\"vertical-align: 0px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1430281\" data-type=\"solution\">\n<div>\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1342382\">36<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166494585796\" data-type=\"exercise\">\n<div id=\"fs-id1944173\" data-type=\"problem\">\n<p id=\"fs-id1166491055574\">What number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-6703b8bd2a5b7b668bde7127c3c96f2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-1b1197403c432a2e694a6215f12b2c93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#48;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"26\" style=\"vertical-align: 0px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1700517\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1572672\">33<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166494585796\" data-type=\"exercise\">\n<div id=\"fs-id1700517\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1445562\" data-type=\"problem\">\n<p id=\"fs-id641408\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-87b6b30dbaf7864c2a5ec25feac717e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#50;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-80588c2af70b499bde2614a130c98b76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> is what number?<\/p>\n<\/div>\n<div id=\"fs-id1470529\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168469855167\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question '125% of 28 is what number?' Translate the words into algebra, writing 125% as 1.25, representing the word 'of' with a multiplication dot, representing the word 'is' with an equals sign, and letting the variable a equal the number. The result is the equation 1.25 \u00b7 28 = a. Multiply to find that 35 = a. 125% of 28 is 35.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Translate into algebra. Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-97edc1124e1060fa282275a8b2a02bc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#61;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"31\" style=\"vertical-align: 0px;\" \/>the number.<\/td>\n<td><span id=\"eip-id1168469683811\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_004_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td><span id=\"eip-id1170688202220\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_004_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8acba4067a3c6455c9005e70bfe17a83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#50;&#53;&#92;&#37;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-80588c2af70b499bde2614a130c98b76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-6bff01d8c87d130da6950c561718ce13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: 0px;\" \/>.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1166494591280\">Remember that a percent over <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2c4b0a8a79b7bd0e6e72a5fca0be9982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> is a number greater than <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4868771cbc422b5818f85500909ce433_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"7\" style=\"vertical-align: -1px;\" \/>. We found that <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-87b6b30dbaf7864c2a5ec25feac717e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#50;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-80588c2af70b499bde2614a130c98b76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-6bff01d8c87d130da6950c561718ce13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: 0px;\" \/>, which is greater than <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-80588c2af70b499bde2614a130c98b76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/>.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1546239\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1304809\" data-type=\"exercise\">\n<div id=\"fs-id1768687\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1546239\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1304809\" data-type=\"exercise\">\n<div id=\"fs-id1768687\" data-type=\"problem\">\n<p id=\"fs-id1166482688666\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5461fe6d74ed56b235d331d9b5d6358d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#53;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-17a7c3198a023ef3b3e4904125dc94a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: 0px;\" \/> is what number?<\/p>\n<\/div>\n<div id=\"fs-id1166497311389\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1472683\">117<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1510964\" data-type=\"problem\">\n<p id=\"fs-id1444663\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f8df8ed120fd3205cb21f906f19a677d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#55;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c7bef200c216bbe8be23cd2a2c1371d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: 0px;\" \/> is what number?<\/p>\n<\/div>\n<div id=\"fs-id1318867\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1166494736657\">126<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id858316\">In the next examples, we are asked to find the base.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 3<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1504170\" data-type=\"problem\">\n<p id=\"fs-id1064716\">Translate and solve: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-dce5a8d8a80b6aa9c2a9f6810851e582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-78ab94a84251f659e623130f06660e8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of what number?<\/p>\n<\/div>\n<div id=\"fs-id1332354\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468657670\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question '36 is 75% of what number?' Translate the words into an equation, writing 36 as 36, representing the word 'is' with an equals sign, writing 75% as 0.75, representing the word 'of' with a multiplication dot, and letting the variable b be equal to the number. The result is the equation 36 = 0.75 \u00b7 b. Divide both sides of the equation by 0.75. Simplify. The result is 48 = b. 36 is 75% of 48.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Translate. Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5b47726c83ea776f14901caa5826ff7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;&#61;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: 0px;\" \/> the number.<\/td>\n<td><span id=\"eip-id1168467293894\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_005_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by 0.75.<\/td>\n<td><span id=\"eip-id1168468229155\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_005_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1168468228961\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_005_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166497435587\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1558801\" data-type=\"exercise\">\n<div id=\"fs-id1858532\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166497435587\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1558801\" data-type=\"exercise\">\n<div id=\"fs-id1858532\" data-type=\"problem\">\n<p id=\"fs-id1166491270654\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b976c8c10558ac50c42d953f3ee38707_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"17\" style=\"vertical-align: -1px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-999170fba948bd6fdce99990751ba6b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of what number?<\/p>\n<\/div>\n<div id=\"fs-id1485863\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1491967\">68<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166498049903\" data-type=\"problem\">\n<p id=\"fs-id1513946\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-89bc2c119dcafc9b555c6b2841530d2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8717e3617c15b83d2da3c2ab5c03cb59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#50;&#46;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"46\" style=\"vertical-align: -1px;\" \/> of what number?<\/p>\n<\/div>\n<div id=\"fs-id1166491249101\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1473410\">64<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1460621\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166476814982\" data-type=\"exercise\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 4<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1305055\" data-type=\"problem\">\n<p id=\"fs-id1454741\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c3ece357fb922d67e5637ff06a254a60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#46;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"37\" style=\"vertical-align: -1px;\" \/> of what number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5795a3d9be00262e2f716c41c5481844_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#46;&#49;&#55;&#125;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"48\" style=\"vertical-align: -1px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1494848\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168466772915\" style=\"width: 100%;\" summary=\"The figure shows the steps to translate the question '6.5% of what number is .17?' Translate the words into an equation, writing 6.5% as 0.065, representing the word 'of' with a multiplication dot, letting the variable b be equal to the number, representing the word 'is' with an equals sign, and writing .17 as 1.17. The result is the equation 0.065 \u00b7 n= 1.17. Divide both sides of the equation by 0.065. Simplify. The result is n = 18. 6.5% of 8 is .17.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Translate. Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5b47726c83ea776f14901caa5826ff7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;&#61;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: 0px;\" \/> the number.<\/td>\n<td><span id=\"eip-id1168466426339\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_006_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by 0.065.<\/td>\n<td><span id=\"eip-id1168467581734\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_006_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1168468668606\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_006_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1505034\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1946839\" data-type=\"exercise\">\n<div id=\"fs-id1166493279859\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1505034\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1946839\" data-type=\"exercise\">\n<div id=\"fs-id1166493279859\" data-type=\"problem\">\n<p id=\"fs-id1558614\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8c73a5fd280deeaebfb111ae7b700b9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#46;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"37\" style=\"vertical-align: -1px;\" \/> of what number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f7c1bc4582ea0787a828a2381e259203_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#46;&#57;&#53;&#125;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"48\" style=\"vertical-align: -1px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1547007\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1538518\">&#36;26<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1559975\" data-type=\"problem\">\n<p id=\"fs-id1471572\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9daefb2d01b66410409d4a53924f43e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#46;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"37\" style=\"vertical-align: -1px;\" \/> of what number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2ed0247583ef7bec01dca3661b96857e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#51;&#46;&#48;&#54;&#125;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"48\" style=\"vertical-align: -1px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1494147\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1503249\">&#36;36<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1477702\">In the next examples, we will solve for the percent.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 5<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166497193482\" data-type=\"problem\">\n<p id=\"fs-id1166491425723\">What percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-dce5a8d8a80b6aa9c2a9f6810851e582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5b9ab147a10432cef90cf0b375b9d6e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: 0px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1490888\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168467247493\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question 'what percent of 36 is 9?' Translate the words into algebra, letting the variable p be equal to the percent, representing the word 'of' with a multiplication dot, writing 36 as 36, representing the word 'is' with an equals sign, and writing 9 as 9. The result is the equation p times 36 is equal to 9. Divide both sides of the equation by 36. Simplify. The result is p is equal to one-fourth. Convert the fraction to decimal form. The result is p is equal to 0.25. Convert the decimal to a percent. The result is p is equal to 25%. 25% of 36 is 9.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Translate into algebra. Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-159263f1bfd0df93391450a8fb398ebc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#61;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: -4px;\" \/> the percent.<\/td>\n<td><span id=\"eip-id1168467173158\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_007_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide by 36.<\/td>\n<td><span id=\"eip-id1168468246128\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_007_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1168468232764\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_007_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert to decimal form.<\/td>\n<td><span id=\"eip-id1168467140378\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_007_img-04.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert to percent.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1168468649399\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_007_img-05.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166478988508\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1242257\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166478988508\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1242257\" data-type=\"problem\">\n<p id=\"fs-id1443673\">What percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-12b818a990fee7373006af5f0935f243_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: 0px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d87e6b1275ed75185953c285c5b9bcd4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#55;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: 0px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1723596\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1166493761825\">75%<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1730241\" data-type=\"problem\">\n<p id=\"fs-id1466995\">What percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-454fa4f8a22c90ab5a5245afd540f8f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#50;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-56e26dd767b02561f996d684effddc63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#54;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"26\" style=\"vertical-align: 0px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1266566\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1546460\">80%<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166491426837\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1217227\" data-type=\"exercise\">\n<div id=\"fs-id1266566\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 6<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1682198\" data-type=\"problem\">\n<p id=\"fs-id1505670\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-1565125d13a851bd23f335968a7b66af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#52;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> is what percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-56e26dd767b02561f996d684effddc63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#54;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"26\" style=\"vertical-align: 0px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1504499\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468323289\" style=\"width: 100%;\" summary=\"The figure shows the steps to translate the question '144 is what percent of 96?' The first step is to translate the words into algebra, writing 144 as 144, representing the word 'is' with an equals sign, letting the variable p be equal to the percent, representing the word 'of' with a multiplication dot, and writing 96 as 96. The result is the equation 144 = p \u00b7 96. The second step is to divide both sides of the equation by 96. The third step is to simplify. The result is 1.5 = p. The fourth step is to convert the decimal to a percent. 150% = p. 144 is 150% of 96.\" data-label=\"\">\n<tbody>\n<tr>\n<td>Translate into algebra. Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-159263f1bfd0df93391450a8fb398ebc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#61;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: -4px;\" \/> the percent.<\/td>\n<td><span id=\"eip-id1168467260045\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_008_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide by 96.<\/td>\n<td><span id=\"eip-id1168469838590\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_008_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1168466144940\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_008_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert to percent.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1168466120192\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_008_img-04.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1230746\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166497145957\" data-type=\"exercise\">\n<div id=\"fs-id1476151\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1230746\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166497145957\" data-type=\"exercise\">\n<div id=\"fs-id1476151\" data-type=\"problem\">\n<p id=\"fs-id1166491298449\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-689df5b3d7ec0132a31ef89b7b6c5851_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#49;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> is what percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ab4428c18b65f9948f4d89f09a77256c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#56;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"26\" style=\"vertical-align: 0px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1166498433697\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p>125%<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1393036\" data-type=\"problem\">\n<p id=\"fs-id1166490859194\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d56c7a77e8b254cd18ace0d2874456b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#50;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> is what percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3a1993101fa1f69549ee9e7c834ed933_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#50;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: 0px;\" \/><\/p>\n<\/div>\n<div id=\"fs-id1033095\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1166497354822\">175%<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Solve Applications of Percent<\/h1>\n<p id=\"fs-id1945999\">Many applications of percent occur in our daily lives, such as tips, sales tax, discount, and interest. To solve these applications we&#8217;ll translate to a basic percent equation, just like those we solved in the previous examples in this section. Once you translate the sentence into a percent equation, you know how to solve it.<\/p>\n<p id=\"fs-id1166490920916\">We will update the strategy we used in our earlier applications to include equations now. Notice that we will translate a sentence into an equation.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Solve an Application<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ol id=\"eip-id1168467261262\" class=\"stepwise\" type=\"1\">\n<li>Identify what you are asked to find and choose a variable to represent it.<\/li>\n<li>Write a sentence that gives the information to find it.<\/li>\n<li>Translate the sentence into an equation.<\/li>\n<li>Solve the equation using good algebra techniques.<\/li>\n<li>Check the answer in the problem and make sure it makes sense.<\/li>\n<li>Write a complete sentence that answers the question.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p id=\"fs-id1397980\">Now that we have the strategy to refer to, and have practiced solving basic percent equations, we are ready to solve percent applications. Be sure to ask yourself if your final answer makes sense\u2014since many of the applications we&#8217;ll solve involve everyday situations, you can rely on your own experience.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 7<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1559643\" data-type=\"problem\">\n<p id=\"fs-id1166491248914\">Dezohn and his girlfriend enjoyed a dinner at a restaurant, and the bill was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c923c7c7e2a35918696aacef9511da57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#54;&#56;&#46;&#53;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"50\" style=\"vertical-align: -1px;\" \/>. They want to leave an <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4c2fc4b3c392d75fa5d1c1bbc86b5048_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#56;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"31\" style=\"vertical-align: -1px;\" \/> tip. If the tip will be <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4c2fc4b3c392d75fa5d1c1bbc86b5048_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#56;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"31\" style=\"vertical-align: -1px;\" \/> of the total bill, how much should the tip be?<\/p>\n<\/div>\n<div id=\"fs-id1166492881878\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468710061\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question '144 is what percent of 96?' The first step is to translate the words into algebra, writing 144 as 144, representing the word 'is' with an equals sign, letting the variable p be equal to the percent, representing the word 'of' with a multiplication dot, and writing 96 as 96. The result is the equation 144 = p \u00b7 96. The second step is to divide both sides of the equation by 96. The third step is to simplify. The result is 1.5 = p. The fourth step is to convert the decimal to a percent. 150% = p. 144 is 150% of 96.\" data-label=\"\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>The amount of the tip<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-be6dc1d69e7f8de3302461f289c68554_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#116;&#61;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"24\" style=\"vertical-align: 0px;\" \/> amount of tip.<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence that give the information to find it.<\/td>\n<td>The tip is 18% of the total bill.<\/td>\n<\/tr>\n<tr>\n<td>Translate the sentence into an equation.<\/td>\n<td><span id=\"eip-id1168468315742\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_009_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td><span id=\"eip-id1168467199315\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_009_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Check. Is this answer reasonable?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>If we approximate the bill to &#36;70 and the percent to 20%, we would have a tip of &#36;14.<br \/>\nSo a tip of &#36;12.33 seems reasonable.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>The couple should leave a tip of &#36;12.33.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166490872653\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166490757076\" data-type=\"exercise\">\n<div id=\"fs-id1582010\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166490872653\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166490757076\" data-type=\"exercise\">\n<div id=\"fs-id1582010\" data-type=\"problem\">\n<p id=\"fs-id1486591\">Cierra and her sister enjoyed a special dinner in a restaurant, and the bill was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9573a8e3dfc664915c6cd86f03ce32db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#56;&#49;&#46;&#53;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"50\" style=\"vertical-align: -1px;\" \/>. If she wants to leave <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4c2fc4b3c392d75fa5d1c1bbc86b5048_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#56;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"31\" style=\"vertical-align: -1px;\" \/> of the total bill as her tip, how much should she leave?<\/p>\n<\/div>\n<div id=\"fs-id1547795\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1536515\">&#36;14.67<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166490773726\" data-type=\"problem\">\n<p id=\"fs-id1166493760656\">Kimngoc had lunch at her favorite restaurant. She wants to leave <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-690b49551ad4352783bd28da73f7d4ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"31\" style=\"vertical-align: -1px;\" \/> of the total bill as her tip. If her bill was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7ad601888a53faaf2b1224a868e859c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#52;&#46;&#52;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"50\" style=\"vertical-align: -1px;\" \/>, how much will she leave for the tip?<\/p>\n<\/div>\n<div id=\"fs-id1166493760712\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1504779\">&#36;2.16<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1468627\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1507526\" data-type=\"exercise\">\n<div id=\"fs-id1166493760712\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 8<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1456178\" data-type=\"problem\">\n<p id=\"fs-id1166493277426\">The label on Masao&#8217;s breakfast cereal said that one serving of cereal provides <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-93bab3e1e2449c9eb7d50303281fbada_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: 0px;\" \/> milligrams (mg) of potassium, which is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9bf99baa4c2dc2c0d33f16422fc64617_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"23\" style=\"vertical-align: -1px;\" \/> of the recommended daily amount. What is the total recommended daily amount of potassium?<\/p>\n<p><span id=\"fs-id1534834\" data-type=\"media\" data-alt=\"The figures shows the nutrition facts for cereal.\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_002.jpg\" alt=\"The figures shows the nutrition facts for cereal.\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<\/div>\n<div id=\"fs-id1387769\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468583805\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to solve the percent problem. Determine what you are asked to find. That is the total amount of potassium recommended. Choose a variable to represent the total amount of potassium. Let the variable a be equal to the total amount of potassium. Write a sentence that gives the information to find the total amount of the potassium. That sentence is '85 milligrams is 2% of the total amount.' Translate the sentence into an equation, writing 85 milligrams as 85, representing the word 'is' with an equals sign, writing 2% as 0.02, representing the word 'of' with a multiplication dot, and writing a as a. The result is the equation 85 = 0.02 \u00b7 a. Divide both sides of the equation by 0.02. Simplify. The result is the equation 4,250 = a. Write a complete sentence that answers the question. The sentence is 'The amount of potassium that is recommended is 4,250 milligrams. Check the reasonableness of the answer. It is reasonable because 2% is a small percent and 85 is a small part of 4,250.\" data-label=\"\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>the total amount of potassium recommended<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-6fdf9894e43ac86e8b63ba96c72e7181_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#61;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"27\" style=\"vertical-align: 0px;\" \/> total amount of potassium.<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence that gives the information to find it.<\/td>\n<td>85 mg is 2% of the total amount.<\/td>\n<\/tr>\n<tr>\n<td>Translate the sentence into an equation.<\/td>\n<td><span id=\"eip-id1168468567974\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_010_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by 0.02.<\/td>\n<td><span id=\"eip-id1168467307104\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_010_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1168467174892\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_010_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Check: Is this answer reasonable?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Yes. 2% is a small percent and 85 is a small part of 4,250.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>The amount of potassium that is recommended is 4250 mg.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1517980\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1520521\" data-type=\"exercise\">\n<div id=\"fs-id1166479044410\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 8.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1517980\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1520521\" data-type=\"exercise\">\n<div id=\"fs-id1166479044410\" data-type=\"problem\">\n<p id=\"fs-id1166491270674\">One serving of wheat square cereal has <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-aca3387e59afe477960eabc2f23b3db5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"9\" style=\"vertical-align: 0px;\" \/> grams of fiber, which is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-953aa0bc23cddc61ae110fb82c6eb10b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#57;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of the recommended daily amount. What is the total recommended daily amount of fiber?<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1547278\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1538465\" data-type=\"exercise\">\n<div id=\"fs-id1343176\" data-type=\"problem\"><\/div>\n<div id=\"fs-id1166490921064\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1166479094534\">24.1 grams<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 8.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1343176\" data-type=\"problem\">\n<p id=\"fs-id1469851\">One serving of rice cereal has <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7835f96172f1d141890010f111a9b574_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#57;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> mg of sodium, which is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-1025f9573106746cac893c46b7705e12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"23\" style=\"vertical-align: -1px;\" \/> of the recommended daily amount. What is the total recommended daily amount of sodium?<\/p>\n<\/div>\n<div id=\"fs-id1166490921064\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1166479094534\">2,375 mg<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1547278\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1538465\" data-type=\"exercise\">\n<div id=\"fs-id1166490921064\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 9<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1856219\">Mitzi received some gourmet brownies as a gift. The wrapper said each brownie was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-cf05f5b3ac6f9d7bee922e84bf69c701_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#56;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"27\" style=\"vertical-align: -1px;\" \/> calories, and had <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-16041c37d4dd0e24a1f8c6347e689355_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#52;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"27\" style=\"vertical-align: -1px;\" \/> calories of fat. What percent of the total calories in each brownie comes from fat?<\/p>\n<\/div>\n<div id=\"fs-id1858492\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168466156738\" style=\"width: 100%;\" summary=\"The figure shows the steps to solve the percent problem. Determine what you are asked to find. That is the percent of the total calories from fat. Choose a variable to represent the percent of the total calories from fat. Let the variable p be equal to percent from fat. Write a sentence that gives the information to find the percent of the total calories from fat. That sentence is 'What percent of 480 is 240?' Translate the sentence into an equation, writing letting the percent be equal to p, representing the word 'of' with a multiplication dot, writing 480 as 480, representing the word 'is' with an equals sign, and writing 240 as 240. The result is the equation p \u00b7 480 = 240. Divide both sides of the equation by 480. Simplify. The result is p = 0.5. Convert the decimal to percent form. The result is p = 50%. Write a complete sentence that answers the question. The sentence is 'Of the total calories in each brownie, 50% is fat. Check the reasonableness of the answer. 240 is half of 480, so 50% makes sense.\" data-label=\"\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>the percent of the total calories from fat<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-159263f1bfd0df93391450a8fb398ebc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#61;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: -4px;\" \/> percent from fat.<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence that gives the information to find it.<\/td>\n<td>What percent of 480 is 240?<\/td>\n<\/tr>\n<tr>\n<td>Translate the sentence into an equation.<\/td>\n<td><span id=\"eip-id1168466826326\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_011_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by 480.<\/td>\n<td><span id=\"eip-id1168467269434\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_011_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1168467598979\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_011_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert to percent form.<\/td>\n<td><span id=\"eip-id1168466071897\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_011_img-04.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Check. Is this answer reasonable?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Yes. 240 is half of 480, so 50% makes sense.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>Of the total calories in each brownie, 50% is fat.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166494759309\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1485170\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 9.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166494759309\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1485170\" data-type=\"problem\">\n<p id=\"fs-id1708929\">Veronica is planning to make muffins from a mix. The package says each muffin will be <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d3d56e99db3a72665ea5f2074be3be2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#51;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: 0px;\" \/> calories and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7029ea134aa43ac5ffd9f780e196307d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> calories will be from fat. What percent of the total calories is from fat? (Round to the nearest whole percent.)<\/p>\n<\/div>\n<div id=\"fs-id1357550\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id2055236\">26%<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercises<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1295108\" data-type=\"problem\">\n<p id=\"fs-id1519735\">The brownie mix Ricardo plans to use says that each brownie will be <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7835f96172f1d141890010f111a9b574_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#57;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> calories, and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-87249b4c68e9c45ed2c73045ffb24b4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: 0px;\" \/> calories are from fat. What percent of the total calories are from fat?<\/p>\n<\/div>\n<div id=\"fs-id1166497442945\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1166493274061\">37%<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1>Find Percent Increase and Percent Decrease<\/h1>\n<p id=\"fs-id1556830\">People in the media often talk about how much an amount has increased or decreased over a certain period of time. They usually express this increase or decrease as a <span class=\"no-emphasis\" data-type=\"term\">percent<\/span>.<\/p>\n<p>To find the percent increase, first we find the amount of increase, which is the difference between the new amount and the original amount. Then we find what percent the amount of increase is of the original amount.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Find Percent Increase<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p id=\"fs-id1475724\">Step 1. Find the amount of increase.<\/p>\n<ul id=\"fs-id1166490916546\" data-display=\"block\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-11486e5c913a853202a138aa7cd10907_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#105;&#110;&#99;&#114;&#101;&#97;&#115;&#101;&#125;&#61;&#92;&#116;&#101;&#120;&#116;&#123;&#110;&#101;&#119;&#32;&#97;&#109;&#111;&#117;&#110;&#116;&#125;&#45;&#92;&#116;&#101;&#120;&#116;&#123;&#111;&#114;&#105;&#103;&#105;&#110;&#97;&#108;&#32;&#97;&#109;&#111;&#117;&#110;&#116;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"323\" style=\"vertical-align: -3px;\" \/><\/li>\n<\/ul>\n<p id=\"fs-id1509018\">Step 2. Find the percent increase as a percent of the original amount.<\/p>\n<\/div>\n<\/div>\n<div id=\"fs-id1166491952512\" class=\"howto\" data-type=\"note\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 10<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1730415\" data-type=\"problem\">\n<p id=\"fs-id1166479093415\">In <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-afe58c9271808be69bc244d3fb892f74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#49;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"36\" style=\"vertical-align: 0px;\" \/>, university tuition fees in Canada for domestic students increased from <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ee6b8987160f1c8479043d0bb1564704_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"27\" style=\"vertical-align: -1px;\" \/> per school year to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-a57e2ccf40bc29dd875361ff4073f10b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#51;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"27\" style=\"vertical-align: -1px;\" \/> per school year. Find the percent increase. (Round to the nearest tenth of a percent.)<\/p>\n<\/div>\n<div id=\"fs-id1166489098559\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168466580305\" style=\"width: 100%;\" summary=\"The figure shows the steps to solve the percent problem. Determine what you are asked to find. That is the percent increase. Choose a variable to represent the percent increase. Let the variable p be equal to percent increase. Find the amount of the increase. 36, the new amount, minus, 26, the original amount, is equal to 10, the amount of the increase. Find the percent increase. The increase is what percent of the original amount? Translate it into an equation, writing 10 as 10, representing the word 'is' with an equals sign, letting p be equal to the percent, representing the word 'of' with a multiplication dot, and writing 26 as 26. The result is the equation 10 is equal to p times 26. Divide both sides by 26. Round the nearest thousandth. The result is 0.384 is equal to p. Convert the decimal to percent form. 38.4% is equal to p. Write the answer as a complete sentence. The new fees represent a 38.4% increase over the old fees.\" data-label=\"\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>the percent increase<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-159263f1bfd0df93391450a8fb398ebc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#61;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: -4px;\" \/> percent.<\/td>\n<\/tr>\n<tr>\n<td>Find the amount of increase.<\/td>\n<td><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_012_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/td>\n<\/tr>\n<tr>\n<td>Find the percent increase.<\/td>\n<td>The increase is what percent of the original amount?<\/td>\n<\/tr>\n<tr>\n<td>Translate to an equation.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by 26.<\/td>\n<td><span id=\"eip-id1168468670909\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_012_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Round to the nearest thousandth.<\/td>\n<td><span id=\"eip-id1168468290605\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_012_img-04.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert to percent form.<\/td>\n<td><span id=\"eip-id1168467114350\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_012_img-05.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence.<\/td>\n<td>The new fees represent a 38.4\\% increase over the old fees.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1166492018739\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1479062\" data-type=\"exercise\">\n<div id=\"fs-id1446248\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 10.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166492018739\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1479062\" data-type=\"exercise\">\n<div id=\"fs-id1446248\" data-type=\"problem\">\n<p id=\"fs-id1440483\">In <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f5fd5601e44bd1dcb1a46d868334fae2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#49;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"35\" style=\"vertical-align: -1px;\" \/>, the IRS increased the deductible mileage cost to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e3702589c0ef2626afe94ef51032f7bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#53;&#46;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"31\" style=\"vertical-align: 0px;\" \/> cents from <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-deb4bebaec9fe47ccd035848be13a879_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"17\" style=\"vertical-align: -1px;\" \/> cents. Find the percent increase. (Round to the nearest tenth of a percent.)<\/p>\n<\/div>\n<div id=\"fs-id1166491054164\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1323972\">8.8%<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 10.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1314764\" data-type=\"problem\">\n<p>In <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f459f64041bffa03e4832d3d2c3b55bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#57;&#56;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"35\" style=\"vertical-align: 0px;\" \/>, the standard bus fare in Vancouver was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2cfba893591223e70ba9c31384edb50c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#46;&#50;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"40\" style=\"vertical-align: -1px;\" \/>. In <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-27c0fad4df8764b18e6eb894cbec644a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#48;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"36\" style=\"vertical-align: 0px;\" \/>, the standard bus fare was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0322688fde7e9627c1949d60278f3d13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#46;&#53;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"41\" style=\"vertical-align: -1px;\" \/>. Find the percent increase. (Round to the nearest tenth of a percent.)<\/p>\n<\/div>\n<div id=\"fs-id1835796\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p>50%<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1539062\">Finding the percent decrease is very similar to finding the percent increase, but now the amount of decrease is the difference between the original amount and the final amount. Then we find what percent the amount of decrease is of the original amount.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Find Percent Decrease<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ol id=\"eip-id1168467275132\" class=\"stepwise\" type=\"1\">\n<li>Find the amount of decrease.\n<ul id=\"eip-id1168467275136\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-90678daedd75efa54feeb5b50feca143_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#100;&#101;&#99;&#114;&#101;&#97;&#115;&#101;&#125;&#61;&#92;&#116;&#101;&#120;&#116;&#123;&#111;&#114;&#105;&#103;&#105;&#110;&#97;&#108;&#32;&#97;&#109;&#111;&#117;&#110;&#116;&#125;&#45;&#92;&#116;&#101;&#120;&#116;&#123;&#110;&#101;&#119;&#32;&#97;&#109;&#111;&#117;&#110;&#116;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"326\" style=\"vertical-align: -3px;\" \/><\/li>\n<\/ul>\n<\/li>\n<li>Find the percent decrease as a percent of the original amount.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<div id=\"fs-id1456109\" class=\"howto\" data-type=\"note\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 11<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1454728\" data-type=\"problem\">\n<p>The average price of a gallon of gas in one city in June <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-137a797d093e1141e72d583251f86c4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"36\" style=\"vertical-align: -1px;\" \/> was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4d6d74586104f2014630baa44a8b7280_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#51;&#46;&#55;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"40\" style=\"vertical-align: -1px;\" \/>. The average price in that city in July was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-630baa503a631e52cecc25e3234aa2f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#51;&#46;&#54;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"41\" style=\"vertical-align: -1px;\" \/>. Find the percent decrease.<\/p>\n<\/div>\n<div id=\"fs-id1505937\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1168468530154\" style=\"width: 100%;\" summary=\"The figure shows the steps to solve the percent problem. Determine what you are asked to find. That is the percent decrease. Choose a variable to represent the percent decrease. Let the variable p be equal to percent decrease. Find the amount of the decrease. 3.71, the original amount, minus, 3.64, the new amount, is equal to 0.07, the amount of the decrease. Find the percent decrease. The decrease is what percent of the original amount? Translate it into an equation, writing 0.07 as 0.07, representing the word 'is' with an equals sign, letting p be equal to the percent, representing the word 'of' with a multiplication dot, and writing 3.71 as 3.71. The result is the equation 0.07 = p \u00b7 3.71. Divide both sides by 3.71. Round to the nearest thousandth. The result is 0.019 is equal to p. Convert the decimal to percent form. 1.9% = p. Write the answer as a complete sentence. The price of gas decreased 1.9%.\" data-label=\"\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>the percent decrease<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-159263f1bfd0df93391450a8fb398ebc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#61;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: -4px;\" \/> percent.<\/td>\n<\/tr>\n<tr>\n<td>Find the amount of decrease.<\/td>\n<td><span id=\"eip-id1168468691510\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_013_img-01.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Find the percent of decrease.<\/td>\n<td>The decrease is what percent of the original amount?<\/td>\n<\/tr>\n<tr>\n<td>Translate to an equation.<\/td>\n<td><span id=\"eip-id1168467355827\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_013_img-02.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by 3.71.<\/td>\n<td><span id=\"eip-id1168466222443\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_013_img-03.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Round to the nearest thousandth.<\/td>\n<td><span id=\"eip-id1168466064946\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_013_img-04.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Convert to percent form.<\/td>\n<td><span id=\"eip-id1168469826216\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_BMath_Figure_06_02_013_img-05.png\" alt=\".\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence.<\/td>\n<td>The price of gas decreased 1.9%.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 11.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1326835\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1477714\" data-type=\"exercise\">\n<div id=\"fs-id1478816\" data-type=\"problem\">\n<p id=\"fs-id1166492788432\">The population of one city was about <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5ffe3b6f6336d8eeafcb1036db5b7811_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#55;&#50;&#44;&#48;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"61\" style=\"vertical-align: -4px;\" \/> in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f410e2a1af2cff96fe4925db6db33434_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#49;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"36\" style=\"vertical-align: -1px;\" \/>. The population of the city is projected to be about <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-91ed0e31f29214ba408c5e01f9a6c07a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#51;&#48;&#44;&#48;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"61\" style=\"vertical-align: -4px;\" \/> in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-02104f070a178780ce11e6995f2bb93e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#50;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"36\" style=\"vertical-align: 0px;\" \/>. Find the percent decrease. (Round to the nearest tenth of a percent.)<\/p>\n<\/div>\n<div id=\"fs-id1454936\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1166493761683\">6.3%<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 11.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1166492691082\" data-type=\"problem\">\n<p id=\"fs-id1682071\">Last year Sheila&#8217;s salary was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e9835e4a5b4e44f070548a86bcf87168_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#52;&#50;&#44;&#48;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"59\" style=\"vertical-align: -4px;\" \/>. Because of furlough days, this year her salary was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f22f459e26bfba8e41afd05383f00f9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#51;&#55;&#44;&#56;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"59\" style=\"vertical-align: -4px;\" \/>. Find the percent decrease. (Round to the nearest tenth of a percent.)<\/p>\n<\/div>\n<div id=\"fs-id1459918\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1739117\">10%<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1511804\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1166489101976\" data-type=\"exercise\">\n<div id=\"fs-id1459918\" data-type=\"solution\">\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Access Additional Online Resources<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ul>\n<li><a href=\"http:\/\/www.openstax.org\/l\/24percentincdec\">Percent Increase and Percent Decrease Visualization<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1>Key Concepts<\/h1>\n<ul id=\"fs-id1377198\" data-bullet-style=\"bullet\">\n<li><strong>Solve an application.<\/strong>\n<ol id=\"eip-id1170172919942\" class=\"stepwise\" type=\"1\">\n<li>Identify what you are asked to find and choose a variable to represent it.<\/li>\n<li>Write a sentence that gives the information to find it.<\/li>\n<li>Translate the sentence into an equation.<\/li>\n<li>Solve the equation using good algebra techniques.<\/li>\n<li>Write a complete sentence that answers the question.<\/li>\n<li>Check the answer in the problem and make sure it makes sense.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Find percent increase.<\/strong>\n<ol id=\"eip-id1170173488767\" class=\"stepwise\" type=\"1\">\n<li>Find the amount of increase:<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-11486e5c913a853202a138aa7cd10907_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#105;&#110;&#99;&#114;&#101;&#97;&#115;&#101;&#125;&#61;&#92;&#116;&#101;&#120;&#116;&#123;&#110;&#101;&#119;&#32;&#97;&#109;&#111;&#117;&#110;&#116;&#125;&#45;&#92;&#116;&#101;&#120;&#116;&#123;&#111;&#114;&#105;&#103;&#105;&#110;&#97;&#108;&#32;&#97;&#109;&#111;&#117;&#110;&#116;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"323\" style=\"vertical-align: -3px;\" \/><\/li>\n<li>Find the percent increase as a percent of the original amount.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Find percent decrease.<\/strong>\n<ol id=\"eip-id1170154414620\" class=\"stepwise\" type=\"1\">\n<li>Find the amount of decrease.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-90678daedd75efa54feeb5b50feca143_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#100;&#101;&#99;&#114;&#101;&#97;&#115;&#101;&#125;&#61;&#92;&#116;&#101;&#120;&#116;&#123;&#111;&#114;&#105;&#103;&#105;&#110;&#97;&#108;&#32;&#97;&#109;&#111;&#117;&#110;&#116;&#125;&#45;&#92;&#116;&#101;&#120;&#116;&#123;&#110;&#101;&#119;&#32;&#97;&#109;&#111;&#117;&#110;&#116;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"326\" style=\"vertical-align: -3px;\" \/><\/li>\n<li>Find the percent decrease as a percent of the original amount.<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<h1 data-type=\"glossary-title\">Glossary<\/h1>\n<div class=\"textbox shaded\">\n<dl id=\"fs-id1166493279699\">\n<dt>percent increase<\/dt>\n<dd id=\"fs-id1166492075980\">The percent increase is the percent the amount of increase is of the original amount.<\/dd>\n<\/dl>\n<dl id=\"fs-id1752340\">\n<dt>percent decrease<\/dt>\n<dd id=\"fs-id1358142\">The percent decrease is the percent the amount of decrease is of the original amount.<\/dd>\n<\/dl>\n<\/div>\n<h1>Practice Makes Perfect<\/h1>\n<h2 id=\"fs-id1491191\" style=\"text-align: left;\">Translate and Solve Basic Percent Equations<\/h2>\n<p id=\"eip-92\">In the following exercises, translate and solve.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 266px;\">\n<tbody>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">1. What number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-bd9a2d7bba53ebd3eb2e8f2c8107a9e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#52;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-dd23da6785f16d438697c6dcb5371bb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#50;&#48;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"34\" style=\"vertical-align: -1px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">2. What number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9ac97cdc85e10b0d7071d846a43c4409_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-cf998cc188748f9b2b680302b0998821_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#48;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"34\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">3. What number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-6684ea7990f9c2cbbc42862a775873f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#52;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7c6a7f2e39efe0af904c1b3f768a8edb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#49;&#50;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"34\" style=\"vertical-align: -1px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">4. What number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c223ff748584a6727b9101feca250bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#54;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-fddafac78ad611b655a20b522b8ed8e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#50;&#52;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"34\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">5. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-462d59808ad5b60e07b5408a73112a2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#53;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b3b59299b4abd3ee9094ed889155169d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: 0px;\" \/> is what number?<\/td>\n<td style=\"width: 50%; height: 14px;\">6. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5461fe6d74ed56b235d331d9b5d6358d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#53;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5b5f1c3a0e1ca514e4e63519e4d0c016_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> is what number?<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">7. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9e66b30eeb6d21fb98312aefc3395039_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#48;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ee1517ee509f51255f943f72a76dabaa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#44;&#50;&#53;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"44\" style=\"vertical-align: -4px;\" \/> is what number?<\/td>\n<td style=\"width: 50%; height: 14px;\">8. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-769ccd9c1205c547bb0eb08f48f7549c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#48;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7bce423d7355d85c0ecff2669bd19b15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#44;&#55;&#52;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"43\" style=\"vertical-align: -4px;\" \/> is what number?<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">9. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-80588c2af70b499bde2614a130c98b76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-999170fba948bd6fdce99990751ba6b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of what number?<\/td>\n<td style=\"width: 50%; height: 14px;\">10. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-dce5a8d8a80b6aa9c2a9f6810851e582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-999170fba948bd6fdce99990751ba6b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of what number?<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">11. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2fddb0fc050fd5cd8cec81b9bb162aa9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"17\" style=\"vertical-align: -1px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-78ab94a84251f659e623130f06660e8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of what number?<\/td>\n<td style=\"width: 50%; height: 14px;\">12. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f7d4f86f5d9fad5ef5c0c16ea6db8147_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-78ab94a84251f659e623130f06660e8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of what number?<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">13. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8d533fc58d03ceb9dbb24651595f3cd9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#46;&#50;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"37\" style=\"vertical-align: -1px;\" \/> of what number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2c0f4ba1652b76664319b6a1082a9196_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#46;&#56;&#55;&#125;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"48\" style=\"vertical-align: -1px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">14. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-62536d5da42247af5f62d29ae27ecee4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#46;&#52;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"37\" style=\"vertical-align: -1px;\" \/> of what number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-015752dd3c404e8cc1d681604b9258d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#46;&#56;&#56;&#125;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"48\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">15. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-974df6f7e7972d561f2d397baae3f2ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#49;&#46;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"45\" style=\"vertical-align: -1px;\" \/> of what number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4bd2634eeda993330a6366053e83c566_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#48;&#56;&#46;&#49;&#48;&#125;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"66\" style=\"vertical-align: -1px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">16. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e4937e584d8884c85758348f7da6678e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#50;&#46;&#51;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"45\" style=\"vertical-align: -1px;\" \/> of what number is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-96ca1bf50d5c590eaca8d5117d1add78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#57;&#50;&#46;&#50;&#53;&#125;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"57\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">17. What percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-afe7ee71a815168d95094421ec208dcc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#54;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: 0px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-38a045d905c904852df7040d38658d7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#56;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: 0px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">18. What percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-1d53fb172bd1a90ee75e28f698d94b71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#49;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"26\" style=\"vertical-align: -1px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f8d759edc998e5ad8afd165db060ced2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#54;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"26\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">19. What percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9c320ee3b39b0416d6f92919cfe287e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#44;&#53;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"43\" style=\"vertical-align: -4px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2371e187b659a78b618d01e46ec20310_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#52;&#48;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"35\" style=\"vertical-align: -1px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">20. What percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-18aa43741ac7a53b595255167f64b116_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#44;&#56;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"43\" style=\"vertical-align: -4px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-be60c1c065a14257f71da1a32dc3a18a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#52;&#54;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"35\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">21. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-874b63beceda768488ea76f12b9cf9e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> is what percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-019c2898ec85d9f166a7a1e9b2983963_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"26\" style=\"vertical-align: 0px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">22. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-39e5271c62d377c7a347b4eb07f74ab2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: 0px;\" \/> is what percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-58b737a0ba61ca4562db4133f6fca9af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#48;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">23. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4707b5539c0299b2727fd36f3efc8dfe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#52;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"27\" style=\"vertical-align: -1px;\" \/> is what percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d1e746281d6ecfbd26beea60ce949479_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#56;&#48;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"35\" style=\"vertical-align: -1px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">24. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2ff4ccd216f0b4205f5f9107329c0bb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#57;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"27\" style=\"vertical-align: 0px;\" \/> is what percent of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f349b95adf1338d3edd4cb0bcefd1226_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#57;&#53;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"35\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: left;\">Solve Applications of Percents<\/h2>\n<p id=\"eip-769\">In the following exercises, solve the applications of percents.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">25. Geneva treated her parents to dinner at their favorite restaurant. The bill was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ea5853434e5a2f7f8db8e162f733a0aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#55;&#52;&#46;&#50;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"49\" style=\"vertical-align: -1px;\" \/>. She wants to leave <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-eed4617ec854a55298fc4252f7ca0fbd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#54;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"31\" style=\"vertical-align: -1px;\" \/> of the total bill as a tip. How much should the tip be?<\/td>\n<td style=\"width: 50%;\">26. When Hiro and his co-workers had lunch at a restaurant the bill was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ff4e6785576faa319a658607b1e3bd6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#57;&#48;&#46;&#53;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"50\" style=\"vertical-align: -1px;\" \/>. They want to leave <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4c2fc4b3c392d75fa5d1c1bbc86b5048_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#56;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"31\" style=\"vertical-align: -1px;\" \/> of the total bill as a tip. How much should the tip be?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">27. Trong has <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-33c3cb7d706ee298e86967ea22e30837_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#50;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"31\" style=\"vertical-align: -1px;\" \/> of each paycheck automatically deposited to his savings account. His last paycheck was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-fbad0626b1678b2ed2d8c8028f37ab4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#44;&#49;&#54;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"49\" style=\"vertical-align: -4px;\" \/>. How much money was deposited to Trong&#8217;s savings account?<\/td>\n<td style=\"width: 50%;\">28. Cherise deposits <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-1025f9573106746cac893c46b7705e12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"23\" style=\"vertical-align: -1px;\" \/> of each paycheck into her retirement account. Her last paycheck was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-19b4beb4a43cb945168335b0d73de2a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#44;&#52;&#56;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"49\" style=\"vertical-align: -4px;\" \/>. How much did Cherise deposit into her retirement account?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">29. One serving of oatmeal has <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-23212a120eb92d226d44696a0b80bead_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\" \/> grams of fiber, which is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-39b699a312e6cb8eed3b03555d5db67c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#51;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of the recommended daily amount. What is the total recommended daily amount of fiber?<\/td>\n<td style=\"width: 50%;\">30. One serving of trail mix has <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-caba4236867d706d697ac624ed9bdbfa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: 0px;\" \/> grams of carbohydrates, which is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-48354a00760175cbcdf4d3a652e484c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#50;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of the recommended daily amount. What is the total recommended daily amount of carbohydrates?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">31. A bacon cheeseburger at a popular fast food restaurant contains <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3e9fb7bd3bb54d158fbede4802618b61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#44;&#48;&#55;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"44\" style=\"vertical-align: -4px;\" \/> milligrams (mg) of sodium, which is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ccfc30006c1037e9fb14c4de4cbd7a93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#54;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of the recommended daily amount. What is the total recommended daily amount of sodium?<\/td>\n<td style=\"width: 50%;\">32. A grilled chicken salad at a popular fast food restaurant contains <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e869dd3e7ceda42d40391bcc5b258444_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#53;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"27\" style=\"vertical-align: 0px;\" \/> milligrams (mg) of sodium, which is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4565493bd0ceea161f03d9c0faa0d99c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#55;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of the recommended daily amount. What is the total recommended daily amount of sodium?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">33. The nutrition fact sheet at a fast food restaurant says the fish sandwich has <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-11dba48d69941aa51360d465f92d237c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#56;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: 0px;\" \/> calories, and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-142d39b2ed111dbbed1f7e38db509b58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#55;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"25\" style=\"vertical-align: -1px;\" \/> calories are from fat. What percent of the total calories is from fat?<\/td>\n<td style=\"width: 50%;\">34. The nutrition fact sheet at a fast food restaurant says a small portion of chicken nuggets has <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7835f96172f1d141890010f111a9b574_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#57;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> calories, and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-70d46f69e3c6a582495ec362e926540f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#49;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> calories are from fat. What percent of the total calories is from fat?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">35. Emma gets paid <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b84d9fa4577b5f0eb6c1db1acf373163_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#51;&#44;&#48;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"50\" style=\"vertical-align: -4px;\" \/> per month. She pays <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3b41fc90f3aaa0cdcc05250aa48f2525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#55;&#53;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"36\" style=\"vertical-align: -1px;\" \/> a month for rent. What percent of her monthly pay goes to rent?<\/td>\n<td style=\"width: 50%;\">36. Dimple gets paid <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-887b0c3a373bd1067904d56a7d00d0dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#51;&#44;&#50;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"50\" style=\"vertical-align: -4px;\" \/> per month. She pays <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8bccb986af26744ec7bdd94501aeb900_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#57;&#54;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"36\" style=\"vertical-align: -1px;\" \/> a month for rent. What percent of her monthly pay goes to rent?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1166490854342\">Find Percent Increase and Percent Decrease<\/h2>\n<p id=\"eip-355\">In the following exercises, find the percent increase or percent decrease.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">37. Tamanika got a raise in her hourly pay, from <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b3b7b51405cb26ea21aaf14404d85e75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#53;&#46;&#53;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"50\" style=\"vertical-align: -1px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-624aaa552fcaab59f5b74b9ee93d4406_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#55;&#46;&#53;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"49\" style=\"vertical-align: -1px;\" \/>. Find the percent increase.<\/td>\n<td style=\"width: 50%;\">38. Ayodele got a raise in her hourly pay, from <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-a2c51dd22087600cf4d9b5cba1b62c70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#52;&#46;&#53;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"50\" style=\"vertical-align: -1px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-005b9e660758511bb773916e96aa4b0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#53;&#46;&#52;&#56;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"50\" style=\"vertical-align: -1px;\" \/>. Find the percent increase.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">39. According to Statistics Canada, annual international graduate student fees in Canada rose from about <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3e5822fcde54ff50c415dfd1397a48d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#51;&#44;&#48;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"59\" style=\"vertical-align: -4px;\" \/> in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5f8a9f4ef796e4d465f67b060c9045cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#49;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"35\" style=\"vertical-align: 0px;\" \/> to about <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-44e31a9bfe8ee14be332d35362389b79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#53;&#44;&#48;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"59\" style=\"vertical-align: -4px;\" \/> in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7a9dab16c262ce7ecb799d32e950c23d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#49;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"36\" style=\"vertical-align: 0px;\" \/>. Find the percent increase.<\/td>\n<td style=\"width: 50%;\">40. The price of a share of one stock rose from <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-22a63eeb382c1d095ed771344d80bda0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#50;&#46;&#53;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"50\" style=\"vertical-align: -1px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f236be8bcbe201599b5b5c9d135dc5e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#53;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"27\" style=\"vertical-align: -1px;\" \/>. Find the percent increase.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">41. According to Time magazine <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-819fdfe03a4a82ad76fb656925713d04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#47;&#49;&#57;&#47;&#50;&#48;&#49;&#49;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"92\" style=\"vertical-align: -4px;\" \/> annual global seafood consumption rose from <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-01cb55a185cee9b8f0aa311ce70a4b82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: 0px;\" \/> pounds per person in <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-daa4bddbbdc6dab30470e23acb350143_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#57;&#54;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"35\" style=\"vertical-align: -1px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4d761d015714dab15099f98dec9a6f60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\" \/> pounds per person today. Find the percent increase. (Round to the nearest tenth of a percent.)<\/td>\n<td style=\"width: 50%;\">42. In one month, the median home price in the Northeast rose from <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-14858fd6449676ced651c6c641cd6194_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#50;&#53;&#44;&#52;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"68\" style=\"vertical-align: -4px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4933d6314d95f8ec12a2d9ddb82eacf4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#52;&#49;&#44;&#53;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"68\" style=\"vertical-align: -4px;\" \/>. Find the percent increase. (Round to the nearest tenth of a percent.)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">43. A grocery store reduced the price of a loaf of bread from <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3840fa4c606517bc9cc7ad16c46124e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#46;&#56;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"41\" style=\"vertical-align: -1px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8f63846c1a6f757187f76ceb8ed43c49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#46;&#55;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"41\" style=\"vertical-align: -1px;\" \/>. Find the percent decrease.<\/td>\n<td style=\"width: 50%;\">44. The price of a share of one stock fell from <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7afcc9ed256995d202e1fa9fa627fa5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#56;&#46;&#55;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"40\" style=\"vertical-align: -1px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-548ca26726880e4851af8a8751af3d52_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#56;&#46;&#53;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"41\" style=\"vertical-align: -1px;\" \/>. Find the percent decrease.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">45. Hernando&#8217;s salary was <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-572fbd00749efc3c4e87a2383568f8d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#52;&#57;&#44;&#53;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"59\" style=\"vertical-align: -4px;\" \/> last year. This year his salary was cut to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ffcb1cf7fdd1202b83ba3915061e3c90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#52;&#52;&#44;&#48;&#53;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"58\" style=\"vertical-align: -4px;\" \/>. Find the percent decrease.<\/td>\n<td style=\"width: 50%;\">46. From <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-18a6ebb07a392a2d8d9ca2d43d83467d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"36\" style=\"vertical-align: 0px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f410e2a1af2cff96fe4925db6db33434_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#48;&#49;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"36\" style=\"vertical-align: -1px;\" \/>, the population of Detroit fell from about <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9e7c850eefb407b1aa43e591cb208379_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#53;&#49;&#44;&#48;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"61\" style=\"vertical-align: -4px;\" \/> to about <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2404a26ba3e35b7811d569d68c12f2aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#49;&#52;&#44;&#48;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"61\" style=\"vertical-align: -4px;\" \/>. Find the percent decrease. (Round to the nearest tenth of a percent.)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">47. In one month, the median home price in the West fell from <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7071152b82a0d185564b28b240ffd919_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#48;&#51;&#44;&#52;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"68\" style=\"vertical-align: -4px;\" \/> to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-186fef730aa7a7cda5603dd95dc93a1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#57;&#50;&#44;&#51;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"68\" style=\"vertical-align: -4px;\" \/>. Find the percent decrease. (Round to the nearest tenth of a percent.)<\/td>\n<td style=\"width: 50%;\">48. Sales of video games and consoles fell from <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-41ce4c4a3ad11d7735b4175846bfdc0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#44;&#49;&#53;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"50\" style=\"vertical-align: -4px;\" \/> million to <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-230be94605a356f5179e6e27bf00f6c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#44;&#48;&#51;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"50\" style=\"vertical-align: -4px;\" \/> million in one year. Find the percent decrease. (Round to the nearest tenth of a percent.)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Everyday Math<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">49.<strong data-effect=\"bold\"> Tipping<\/strong> At the campus coffee cart, a medium coffee costs <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-370558f1b1bed19cbfa2ef5ed675ce11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#49;&#46;&#54;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"40\" style=\"vertical-align: -1px;\" \/>. MaryAnne brings <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-bcc081c0b035bbafb1bec51fa53c9087_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#46;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"41\" style=\"vertical-align: -1px;\" \/> with her when she buys a cup of coffee and leaves the change as a tip. What percent tip does she leave?<\/td>\n<td style=\"width: 50%;\">50.<strong data-effect=\"bold\"> Late Fees<\/strong> Alison was late paying her credit card bill of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-95f2a0135fab70fc4125fa41662eb902_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#92;&#36;&#50;&#52;&#57;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"36\" style=\"vertical-align: -1px;\" \/>. She was charged a <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4bd2bf3f0970f1c6f8ac2e2e2ee5e59e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"23\" style=\"vertical-align: -1px;\" \/> late fee. What was the amount of the late fee?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Writing Exercises<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">51. Without solving the problem <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-59d19c133c91f70cfbde6da8ab90df9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#96;&#96;&#52;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"25\" style=\"vertical-align: -1px;\" \/> is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4cdf20f5a0c685a0bc71062c60322d43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of what number\u201d, think about what the solution might be. Should it be a number that is greater than <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-54130b413a9a12a930c9a8acc2a09012_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"18\" style=\"vertical-align: -1px;\" \/> or less than <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-fe665caefbae4501fee0f50bd2be98bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#52;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"26\" style=\"vertical-align: -1px;\" \/> Explain your reasoning.<\/td>\n<td style=\"width: 50%;\">52. Without solving the problem \u201cWhat is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3bfd8c599b970b0e4f4818295484697d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-eaede0633875c3dcf4e5a6a224bec21e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#48;&#48;&#63;&#39;&#39;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"43\" style=\"vertical-align: 0px;\" \/> think about what the solution might be. Should it be a number that is greater than <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-fd1f95d8d580ca7e0a22581555ffd7b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#48;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: 0px;\" \/> or less than <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e468c614f10688ace924f3a149b98b69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#48;&#48;&#63;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"35\" style=\"vertical-align: 0px;\" \/> Explain your reasoning.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">53. After returning from vacation, Alex said he should have packed <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3e6877ade397f3f579c4967251d9a8c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"32\" style=\"vertical-align: -1px;\" \/> fewer shorts and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3f2fc9b3bc7b39c47760859d2cdc82fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#48;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"41\" style=\"vertical-align: -1px;\" \/> more shirts. Explain what Alex meant.<\/td>\n<td style=\"width: 50%;\">54. Because of road construction in one city, commuters were advised to plan their Monday morning commute to take <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5461fe6d74ed56b235d331d9b5d6358d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#53;&#48;&#92;&#37;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"40\" style=\"vertical-align: -1px;\" \/> of their usual commuting time. Explain what this means.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1 style=\"text-align: left;\">Answers<\/h1>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 33.3333%;\">1.\u00a054<\/td>\n<td style=\"width: 33.3333%;\">3. 26.88<\/td>\n<td style=\"width: 33.3333%;\">5. 162.5<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">7. 18,000<\/td>\n<td style=\"width: 33.3333%;\">9. 112<\/td>\n<td style=\"width: 33.3333%;\">11. 108<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">13. &#36;35<\/td>\n<td style=\"width: 33.3333%;\">15. &#36;940<\/td>\n<td style=\"width: 33.3333%;\">17. 30%<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">19. 36%<\/td>\n<td style=\"width: 33.3333%;\">21. 150%<\/td>\n<td style=\"width: 33.3333%;\">23. 175%<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">25. &#36;11.88<\/td>\n<td style=\"width: 33.3333%;\">27. &#36;259.80<\/td>\n<td style=\"width: 33.3333%;\">29. 24.2 grams<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">31. 2,407 grams<\/td>\n<td style=\"width: 33.3333%;\">33. 45%<\/td>\n<td style=\"width: 33.3333%;\">35. 25%<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">37. 13.2%<\/td>\n<td style=\"width: 33.3333%;\">39. 15%<\/td>\n<td style=\"width: 33.3333%;\">41. 72.7%<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">43. 2.5%<\/td>\n<td style=\"width: 33.3333%;\">45. 11%<\/td>\n<td style=\"width: 33.3333%;\">47. 5.5%<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">49. 21.2%<\/td>\n<td style=\"width: 33.3333%;\">51. The original number should be greater than 44.80% is less than 100%, so when 80% is converted to a decimal and multiplied to the base in the percent equation, the resulting amount of 44 is less. 44 is only the larger number in cases where the percent is greater than 100%.<\/td>\n<td style=\"width: 33.3333%;\">53.\u00a0Alex should have packed half as many shorts and twice as many shirts.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Attributions<\/h1>\n<p>This chapter has been adapted from \u201cSolve General Applications of Percent\u201d in <a href=\"https:\/\/openstax.org\/details\/books\/prealgebra-2e\"><em>Prealgebra<\/em><\/a> (OpenStax) by Lynn Marecek, MaryAnne Anthony-Smith, and Andrea Honeycutt Mathis, which is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY 4.0 Licence<\/a>. Adapted by Izabela Mazur. 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