{"id":86,"date":"2019-04-29T14:01:21","date_gmt":"2019-04-29T14:01:21","guid":{"rendered":"https:\/\/integrations.pressbooks.network\/mathtest\/chapter\/4-6-the-cook-oil-sharing-puzzle\/"},"modified":"2020-09-03T20:31:23","modified_gmt":"2020-09-03T20:31:23","slug":"4-6-the-cook-oil-sharing-puzzle","status":"web-only","type":"chapter","link":"https:\/\/integrations.pressbooks.network\/mathtest\/chapter\/4-6-the-cook-oil-sharing-puzzle\/","title":{"raw":"4.6 The Cook Oil Sharing Puzzle","rendered":"4.6 The Cook Oil Sharing Puzzle"},"content":{"raw":"[latexpage]\n\nCally, 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?\n\n\"Shapes<\/span>\n\n\\(\\begin{array}{ccccccccrccccc}\n&\\text{Action taken:}&&&&&&\\text{Each}&\\text{container}&\\text{holds:}&&&& \\\\ \\\\\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}} \\\\\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}} \\\\\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}} \\\\\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}} \\\\\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}} \\\\\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}} \\\\\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}} \\\\\n\\end{array}\\)\n\nAnswer Key 4.6<\/a>","rendered":"

[latexpage]<\/p>\n

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

\"Shapes<\/span><\/p>\n

\\(\\begin{array}{ccccccccrccccc}
\n&\\text{Action taken:}&&&&&&\\text{Each}&\\text{container}&\\text{holds:}&&&& \\\\ \\\\
\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}} \\\\
\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}} \\\\
\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}} \\\\
\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}} \\\\
\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}} \\\\
\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}} \\\\
\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}} \\\\
\n\\end{array}\\)<\/p>\n

Answer Key 4.6<\/a><\/p>\n","protected":false},"author":14,"menu_order":16,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["terrance-berg"],"pb_section_license":"cc-by-nc-sa"},"chapter-type":[],"contributor":[],"license":[56],"class_list":["post-86","chapter","type-chapter","status-web-only","hentry","license-cc-by-nc-sa"],"part":24,"_links":{"self":[{"href":"https:\/\/integrations.pressbooks.network\/mathtest\/wp-json\/pressbooks\/v2\/chapters\/86","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/integrations.pressbooks.network\/mathtest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/integrations.pressbooks.network\/mathtest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/mathtest\/wp-json\/wp\/v2\/users\/14"}],"version-history":[{"count":1,"href":"https:\/\/integrations.pressbooks.network\/mathtest\/wp-json\/pressbooks\/v2\/chapters\/86\/revisions"}],"predecessor-version":[{"id":87,"href":"https:\/\/integrations.pressbooks.network\/mathtest\/wp-json\/pressbooks\/v2\/chapters\/86\/revisions\/87"}],"part":[{"href":"https:\/\/integrations.pressbooks.network\/mathtest\/wp-json\/pressbooks\/v2\/parts\/24"}],"metadata":[{"href":"https:\/\/integrations.pressbooks.network\/mathtest\/wp-json\/pressbooks\/v2\/chapters\/86\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/integrations.pressbooks.network\/mathtest\/wp-json\/wp\/v2\/media?parent=86"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/mathtest\/wp-json\/pressbooks\/v2\/chapter-type?post=86"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/mathtest\/wp-json\/wp\/v2\/contributor?post=86"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/mathtest\/wp-json\/wp\/v2\/license?post=86"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}