{"id":133178,"date":"2024-08-22T16:57:24","date_gmt":"2024-08-22T16:57:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=133178"},"modified":"2024-08-22T16:57:27","modified_gmt":"2024-08-22T16:57:27","slug":"a-macaroni-and-cheese-recipe-calls-for-1-3-cup-of-flour-for-every-1-1-5-cup-of-milk","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/08\/22\/a-macaroni-and-cheese-recipe-calls-for-1-3-cup-of-flour-for-every-1-1-5-cup-of-milk\/","title":{"rendered":"A macaroni and cheese recipe calls for 1\/3 cup of flour for every 1 1\/5 cup of milk"},"content":{"rendered":"\n

A macaroni and cheese recipe calls for 1\/3 cup of flour for every 1 1\/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?<\/p>\n\n\n\n

A.
7 1\/5 cups<\/p>\n\n\n\n

B.
2 2\/5 cups<\/p>\n\n\n\n

C.
3 8\/15 cups<\/p>\n\n\n\n

D.
6 cups<\/p>\n\n\n\n

To determine the amount of milk needed for 2 cups of flour, we first need to find the ratio of flour to milk in the original recipe and then scale it up.<\/p>\n\n\n\n

    \n
  1. Convert mixed numbers to improper fractions:<\/strong>\n
      \n
    • 13\\frac{1}{3}31\u200b cup of flour per 65\\frac{6}{5}56\u200b cups of milk.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Set up the proportion:<\/strong>FlourMilk=2x\\frac{\\text{Flour}}{\\text{Milk}} = \\frac{2}{x}MilkFlour\u200b=x2\u200bwhere xxx is the amount of milk needed for 2 cups of flour.<\/li>\n\n\n\n
    • Set up the ratio based on the original recipe:<\/strong>1365=2x\\frac{\\frac{1}{3}}{\\frac{6}{5}} = \\frac{2}{x}56\u200b31\u200b\u200b=x2\u200b<\/li>\n\n\n\n
    • Simplify the original ratio:<\/strong>1365=13\u00d756=518\\frac{\\frac{1}{3}}{\\frac{6}{5}} = \\frac{1}{3} \\times \\frac{5}{6} = \\frac{5}{18}56\u200b31\u200b\u200b=31\u200b\u00d765\u200b=185\u200b<\/li>\n\n\n\n
    • Set up the equation with the new amount of flour:<\/strong>518=2x\\frac{5}{18} = \\frac{2}{x}185\u200b=x2\u200b<\/li>\n\n\n\n
    • Solve for xxx by cross-multiplying:<\/strong>5x=365x = 365x=36 x=365=7.2x = \\frac{36}{5} = 7.2x=536\u200b=7.2To convert 7.27.27.2 into a mixed number:7.2=7210=7157.2 = 7 \\frac{2}{10} = 7 \\frac{1}{5}7.2=7102\u200b=751\u200b<\/li>\n<\/ol>\n\n\n\n

      Therefore, the amount of milk needed is 7157 \\frac{1}{5}751\u200b cups.<\/p>\n\n\n\n

      The correct answer is:<\/p>\n\n\n\n

      A. 7 1\/5 cups<\/strong><\/p>\n\n\n\n

      <\/p>\n","protected":false},"excerpt":{"rendered":"

      A macaroni and cheese recipe calls for 1\/3 cup of flour for every 1 1\/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch? A.7 1\/5 cups B.2 2\/5 cups C.3 8\/15 cups D.6 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-133178","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133178","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=133178"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133178\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=133178"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=133178"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=133178"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}