A macaroni and cheese recipe calls for 1\/4 cup of flour for every 1 1\/6 cup of milk. To make a bigger batch, the chef uses 5 cups of flour.<\/p>\n\n\n\n
Which of the following would be the amount of milk needed for the bigger batch?<\/p>\n\n\n\n
A.
21 3\/5 cups<\/p>\n\n\n\n
B.
20 1\/3cups<\/p>\n\n\n\n
C.
23 4\/9 cups<\/p>\n\n\n\n
D.
23 1\/3 cups<\/p>\n\n\n\n
The Correct answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To solve this problem, we need to determine the amount of milk required when using 5 cups of flour, based on the given ratio in the macaroni and cheese recipe. The recipe states that for every 1\/4 cup of flour, 1 1\/6 cups of milk are needed.<\/p>\n\n\n\n The original ratio of flour to milk is:1\/4 cup of flour116 cups of milk=1\/47\/6\\frac{1\/4 \\text{ cup of flour}}{1 \\frac{1}{6} \\text{ cups of milk}} = \\frac{1\/4}{7\/6} 161\u200b cups of milk1\/4 cup of flour\u200b=7\/61\/4\u200b<\/p>\n\n\n\n To simplify 1\/47\/6\\frac{1\/4}{7\/6}7\/61\/4\u200b, we multiply by the reciprocal of the denominator:1\/47\/6=1\/4\u00d76\/71=628=314\\frac{1\/4}{7\/6} = \\frac{1\/4 \\times 6\/7}{1} = \\frac{6}{28} = \\frac{3}{14}7\/61\/4\u200b=11\/4\u00d76\/7\u200b=286\u200b=143\u200b<\/p>\n\n\n\n Thus, for every 3 units of milk, 14 units of flour are required.<\/p>\n\n\n\n Let xxx represent the amount of milk needed for 5 cups of flour. Set up the proportion:1\/4116=5x\\frac{1\/4}{1 \\frac{1}{6}} = \\frac{5}{x} 161\u200b1\/4\u200b=x5\u200b<\/p>\n\n\n\n To cross-multiply and solve for xxx, calculate:51\u00d714\/3=x\\frac{5}{1} \\times 14\/3 = x 15\u200b\u00d714\/3=x<\/p>\n\n\n\n Solving the above provides the exact correct response value.<\/p>\n","protected":false},"excerpt":{"rendered":" A macaroni and cheese recipe calls for 1\/4 cup of flour for every 1 1\/6 cup of milk. To make a bigger batch, the chef uses 5 cups of flour. Which of the following would be the amount of milk needed for the bigger batch? A.21 3\/5 cups B.20 1\/3cups C.23 4\/9 cups D.23 1\/3 […]<\/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-134146","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/134146","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=134146"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/134146\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=134146"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=134146"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=134146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Determine the ratio of flour to milk.<\/h3>\n\n\n\n
Step 2: Simplify the ratio.<\/h3>\n\n\n\n
Step 3: Set up a proportion for the larger batch.<\/h3>\n\n\n\n
Step 4: Solve for xxx.<\/h3>\n\n\n\n