CHAPTER 4 Ratio, Proportion, and Percent

# Review Exercises

## Write a Ratio as a Fraction

In the following exercises, write each ratio as a fraction. Simplify the answer if possible.

 1. to 2. to 3. to 4. to 5. 6. 7. inches to feet 8. ounces to ounces

## Write a Rate as a Fraction

In the following exercises, write each rate as a fraction. Simplify the answer if possible.

 9. pounds per square inches 10. calories per ounces 11. for hours 12. miles in hours

## Find Unit Rates

In the following exercises, find the unit rate.

 13. pounds per square inches 14. calories per ounces 15. for hours 16. miles in hours

## Find Unit Price

In the following exercises, find the unit price.

 17.Highlighters: for 18. T-shirts: for 19. Anna bought a pack of kitchen towels for . How much did each towel cost? Round to the nearest cent if necessary. 20. An office supply store sells a box of pens for . The box contains pens. How much does each pen cost?
In the following exercises, find each unit price and then determine the better buy.
 21.Vitamins: tablets for or for 22. Shampoo: ounces for or ounces for

## Translate Phrases to Expressions with Fractions

In the following exercises, translate the English phrase into an algebraic expression.

 23. adults to children 24. miles per 25. the ratio of and the sum of and 26. the ratio of and the difference of and

In the following exercises, write each percent as a ratio.

 27. admission rate for the university 28. rate of college students with student loans

In the following exercises, write as a ratio and then as a percent.

 29. out of architects are women. 30. out of every nurses are men.

In the following exercises, convert each percent to a fraction.

 31 32 33 34

In the following exercises, convert each percent to a decimal.

 35 36. 37 38. 4.9%

In the following exercises, convert each percent to a) a simplified fraction and b) a decimal.

 39. In of the Canadian population was age or over. (Source: www12.statcan.gc.ca) 40. In of the Canadian population was under years old. (Source: www12.statcan.gc.ca) 41. When a die is tossed, the probability it will land with an even number of dots on the top side is . 42. A couple plans to have three children. The probability they will all be girls is .

In the following exercises, convert each decimal to a percent.

 43 44 45 46 47 48

In the following exercises, convert each fraction to a percent.

 49. 50. 51. 52. 53. According to the Centers for Disease Control, of adults do not take a vitamin or supplement. 54. According to the Centers for Disease Control, among adults who do take a vitamin or supplement, take a multivitamin.

In the following exercises, translate and solve.

 55. What number is of 56. of is what number? 57. is of what number? 58. is of what number? 59. of what number is 60. of what number is 61. What percent of is 62. What percent of is

## Solve General Applications of Percents

In the following exercises, solve.

 63. When Aurelio and his family ate dinner at a restaurant, the bill was . Aurelio wants to leave of the total bill as a tip. How much should the tip be? 64. One granola bar has grams of fiber, which is of the recommended daily amount. What is the total recommended daily amount of fiber? 65. The nutrition label on a package of granola bars says that each granola bar has calories, and calories are from fat. What percent of the total calories is from fat? 66. Elsa gets paid per month. Her car payment is . What percent of her monthly pay goes to her car payment?
 67. Marta got a gift of  from her uncle.  She spent of that money for her trip to Victoria. How much money she has left?. 68. Last year Bernard bought a new car for . If the value of the car depreciated  every year , find the value of the car this year.

## Solve Proportions and their Applications

In the following exercises, write each sentence as a proportion.

 69. is to as is to . 70. miles to gallons is the same as miles to gallons. 71. teacher to students is the same as teachers to students. 72. for ounces is the same as for ounces.

In the following exercises, determine whether each equation is a proportion.

 73 74 75 76

In the following exercises, solve each proportion.

 77 78 79 80

In the following exercises, solve the proportion problem.

 81. The children’s dosage of acetaminophen is millilitre s (ml) for every pounds of a child’s weight. How many millilitre s of acetaminophen will be prescribed for a pound child? 82. After a workout, Dennis takes his pulse for sec and counts beats. How many beats per minute is this? 83. An ounce serving of ice cream has calories. If Lavonne eats ounces of ice cream, how many calories does she get? 84. Alma is going to Europe and wants to exchange into Euros. If each dollar is Euros, how many Euros will Alma get? 85. Zack wants to drive from Abbotsford to Banff, a distance of miles. If his car gets miles to the gallon, how many gallons of gas will Zack need to get to Banff? 86. Teresa is planning a party for people. Each gallon of punch will serve people. How many gallons of punch will she need?

In the following exercises, translate to a proportion.

 87. What number is of 88. is of what number? 89. What percent of is 90. What percent of is

In the following exercises, translate and solve using proportions.

 91. What number is of 92. of what number is 93. is of what number? 94. What percent of is

In the following exercises, convert each percent to a) a decimal b) a simplified fraction.

 95 96. 97

In the following exercises, convert each fraction to a percent. (Round to decimal places if needed.)

 98 99. 100

In the following exercises, solve the percent problem.

 101. is what percent of 102. What number is of 103. of what number is 104. Write as a proportion: gallons to miles is the same as gallons to miles. 105. Vin read pages of a book in minutes. At that rate, how long will it take him to read pages?

 1. 3. 5. 7. 9. 11. 13. 12 pounds/sq.in. 15. $17.50/hour 17.$0.42 19. $1.65 21.$0.11, $0.12; 60 tablets for$6.49 23. 25. 27. 29. 31. 33. 35. 0.06 37. 1.28 39. a) b) 41. a) b) 43. 4% 45. 282% 47. 0.3% 49. 75% 51. 362.5% 53. 40% 55. 161 57. 240 59. 25 61. 68% 63. $16.70 65. 28.4% 67. 1235 69. 71. 73. yes 75. no 77. 20 79. 4 81. 12 83. 340 87. 89. 91.765 93.$78 95. 97. 99. 33.333% 101.25% 103. 40 105. 42

# Chapter Test

 1. Write a ratio as a fraction. Simplify the answer if possible. to 2. Write a rate as a fraction. Simplify the answer if possible.  pounds per square inches 3. Find the unit rate.  for hours 4. Marta bought a pack of paint brushes for . How much did each brush cost? Round to the nearest cent if necessary 5. Find each unit price and then the better buy. Laundry detergent: ounces for or ounces for 6. Convert a percent to a fraction: 7. Convert a decimal to a percent: 8. Convert a fraction to a percent. (Round to decimal places if needed.) 9.  What number is of 10. of what number is 11. is what percent of 12. One granola bar has grams of fiber, which is of the recommended daily amount. What is the total recommended daily amount of fiber? 13. Klaudia is going to Poland and wants to exchange into Polish zlotych. If each dollar is zlotych, how many zlotych will Klaudia get? 14. Solve a proportion: 15. Solve a proportion: 16.Solve a proportion:

 1. 2. 3. $36.20 4.$5.37 5. 64 ounces for \$10.99 is the better buy 6. 7. 7% 8. 137.5% 9. 162 10. 425 11. 16% 12. 25 grams 13. 4074 zlotych 14. 56 15. 2.25 16. 9.3