A recipe calls for 5\/7 cup of flour for every 2 3\/5 cup of milk. To make a bigger batch, the chef uses 3 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?<\/p>\n\n\n\n
A.
12 1\/5 cups<\/p>\n\n\n\n
B.
12 2\/5 cups<\/p>\n\n\n\n
C.
8 9\/25 cups<\/p>\n\n\n\n
D.
10 23\/25 cups<\/p>\n\n\n\n
To find out how much milk is needed for 3 cups of flour, we need to use the given ratio of flour to milk and scale it up accordingly.<\/p>\n\n\n\n
The recipe ratio is: 5\/7 cup of flour235 cups of milk\\frac{5\/7 \\text{ cup of flour}}{2 \\frac{3}{5} \\text{ cups of milk}}253\u200b cups of milk5\/7 cup of flour\u200b<\/p>\n\n\n\n
First, convert 2352 \\frac{3}{5}253\u200b to an improper fraction: 235=10+35=1352 \\frac{3}{5} = \\frac{10 + 3}{5} = \\frac{13}{5}253\u200b=510+3\u200b=513\u200b<\/p>\n\n\n\n
So the ratio is: 5\/713\/5\\frac{5\/7}{13\/5}13\/55\/7\u200b<\/p>\n\n\n\n
To find out how much milk is needed for 3 cups of flour, set up a proportion: 5\/713\/5=3x\\frac{5\/7}{13\/5} = \\frac{3}{x}13\/55\/7\u200b=x3\u200b<\/p>\n\n\n\n
Solve for xxx (the amount of milk needed): 5\/713\/5=3x\\frac{5\/7}{13\/5} = \\frac{3}{x}13\/55\/7\u200b=x3\u200b<\/p>\n\n\n\n
Cross-multiply to solve for xxx: 57\u00d7513=3x\\frac{5}{7} \\times \\frac{5}{13} = \\frac{3}{x}75\u200b\u00d7135\u200b=x3\u200b 2591=3x\\frac{25}{91} = \\frac{3}{x}9125\u200b=x3\u200b<\/p>\n\n\n\n
Cross-multiply to solve for xxx: 25x=27325x = 27325x=273 x=27325x = \\frac{273}{25}x=25273\u200b x=10.92 (approximately)x = 10.92 \\text{ (approximately)}x=10.92 (approximately)<\/p>\n\n\n\n
Convert this to a mixed number: 10.92=10232510.92 = 10 \\frac{23}{25}10.92=102523\u200b<\/p>\n\n\n\n
So, the amount of milk needed is:<\/p>\n\n\n\n
D. 10 23\/25 cups<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":" A recipe calls for 5\/7 cup of flour for every 2 3\/5 cup of milk. To make a bigger batch, the chef uses 3 cups of flour. Which of the following would be the amount of milk needed for the bigger batch? A.12 1\/5 cups B.12 2\/5 cups C.8 9\/25 cups D.10 23\/25 cups To […]<\/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-134391","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/134391","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=134391"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/134391\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=134391"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=134391"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=134391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}