{"id":1304,"date":"2021-12-02T19:37:24","date_gmt":"2021-12-03T00:37:24","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/4-6-the-cook-oil-sharing-puzzle\/"},"modified":"2023-08-30T12:57:34","modified_gmt":"2023-08-30T16:57:34","slug":"the-cook-oil-sharing-puzzle","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/the-cook-oil-sharing-puzzle\/","title":{"raw":"4.6 The Cook Oil Sharing Puzzle","rendered":"4.6 The Cook Oil Sharing Puzzle"},"content":{"raw":"Cally, Katy, and Jasnah buy a bulk container of 24 litres of cooking oil. The problem is that they intend to divide it evenly into 8-litre amounts in three different containers. The other two containers are 13 litres and 11 litres. They have a small 5 litre container that can be used. Katy comes up with a solution, and they all agree that dividing the oil will require seven careful steps. Can you find Katy\u2019s solution or find one that takes fewer steps?\r\n\r\n\"4\r\n\r\n[latex]\\begin{array}{ccccccccrccccc}\r\n&\\text{Action taken:}&&&&&&\\text{Each}&\\text{container}&\\text{holds:}&&&& \\\\ \\\\\r\n\\text{Step 1.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\\r\n\\text{Step 2.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\\r\n\\text{Step 3.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\\r\n\\text{Step 4.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\\r\n\\text{Step 5.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\\r\n\\text{Step 6.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\\r\n\\text{Step 7.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\\r\n\\end{array}[\/latex]\r\n\r\nAnswer Key 4.6<\/a>","rendered":"

Cally, Katy, and Jasnah buy a bulk container of 24 litres of cooking oil. The problem is that they intend to divide it evenly into 8-litre amounts in three different containers. The other two containers are 13 litres and 11 litres. They have a small 5 litre container that can be used. Katy comes up with a solution, and they all agree that dividing the oil will require seven careful steps. Can you find Katy\u2019s solution or find one that takes fewer steps?<\/p>\n

\"4<\/p>\n

[latex]\\begin{array}{ccccccccrccccc} &\\text{Action taken:}&&&&&&\\text{Each}&\\text{container}&\\text{holds:}&&&& \\\\ \\\\ \\text{Step 1.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\ \\text{Step 2.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\ \\text{Step 3.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\ \\text{Step 4.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\ \\text{Step 5.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\ \\text{Step 6.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\ \\text{Step 7.}&\\underline{\\phantom{000000000000000}}\\hspace{0.25in}&A&=&\\underline{\\phantom{00}}&B&=&\\underline{\\phantom{00}}&C&=&\\underline{\\phantom{00}}&D&=&\\underline{\\phantom{00}} \\\\ \\end{array}[\/latex]<\/p>\n

Answer Key 4.6<\/a><\/p>\n","protected":false},"author":90,"menu_order":6,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"chapter-type":[],"contributor":[],"license":[56],"class_list":["post-1304","chapter","type-chapter","status-publish","hentry","license-cc-by-nc-sa"],"part":1241,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1304","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":2,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1304\/revisions"}],"predecessor-version":[{"id":2095,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1304\/revisions\/2095"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1241"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1304\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1304"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1304"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1304"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1304"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}