{"id":139342,"date":"2024-09-17T08:14:55","date_gmt":"2024-09-17T08:14:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=139342"},"modified":"2024-09-17T08:14:57","modified_gmt":"2024-09-17T08:14:57","slug":"a-recipe-calls-for-5-7-cup-of-flour-for-every-2-3-5-cup-of-milk","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/17\/a-recipe-calls-for-5-7-cup-of-flour-for-every-2-3-5-cup-of-milk\/","title":{"rendered":"A recipe calls for 5\/7 cup of flour for every 2 3\/5 cup of milk."},"content":{"rendered":"\n

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

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To determine how much milk is needed when using 3 cups of flour, given the original ratio in the recipe, we need to follow these steps:<\/p>\n\n\n\n

    \n
  1. Understand the Original Ratio<\/strong>: The recipe specifies a ratio of 57\\frac{5}{7}75\u200b cup of flour for every 2352 \\frac{3}{5}253\u200b cups of milk. 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\u200bSo, the ratio is 57\\frac{5}{7}75\u200b cup of flour to 135\\frac{13}{5}513\u200b cups of milk.<\/li>\n\n\n\n
  2. Set Up the Proportion<\/strong>: Let xxx represent the amount of milk needed for 3 cups of flour. Using the original ratio:57135=3x\\frac{\\frac{5}{7}}{\\frac{13}{5}} = \\frac{3}{x}513\u200b75\u200b\u200b=x3\u200bWe solve this proportion to find xxx.<\/li>\n\n\n\n
  3. Solve the Proportion<\/strong>: Start by simplifying the left side of the proportion:57135=57\u00d7513=2591\\frac{\\frac{5}{7}}{\\frac{13}{5}} = \\frac{5}{7} \\times \\frac{5}{13} = \\frac{25}{91}513\u200b75\u200b\u200b=75\u200b\u00d7135\u200b=9125\u200bSo the proportion is:2591=3x\\frac{25}{91} = \\frac{3}{x}9125\u200b=x3\u200bTo solve for xxx, cross-multiply and solve:25x=91\u00d7325x = 91 \\times 325x=91\u00d73 25x=27325x = 27325x=273 x=27325=10.92x = \\frac{273}{25} = 10.92x=25273\u200b=10.92<\/li>\n\n\n\n
  4. Convert the Result<\/strong>: The decimal 10.92 can be converted to a mixed number. 0.920.920.92 is approximately 2325\\frac{23}{25}2523\u200b. Therefore, 10.9210.9210.92 is 10232510 \\frac{23}{25}102523\u200b.<\/li>\n\n\n\n
  5. Match to the Given Options<\/strong>: Among the given options:
    • A. 121512 \\frac{1}{5}1251\u200b cups<\/li>
    • B. 122512 \\frac{2}{5}1252\u200b cups<\/li>
    • C. 89258 \\frac{9}{25}8259\u200b cups<\/li>
    • D. 10232510 \\frac{23}{25}102523\u200b cups<\/li><\/ul>The closest match to 10232510 \\frac{23}{25}102523\u200b cups is option D.<\/li>\n<\/ol>\n\n\n\n

      Thus, the correct amount of milk needed for the bigger batch is 10232510 \\frac{23}{25}102523\u200b cups, which corresponds to option D.<\/p>\n\n\n\n

      This approach ensures accuracy by first converting mixed numbers to improper fractions, setting up a proportion, and then solving it step by step to find the precise amount of milk needed.<\/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 The […]<\/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-139342","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/139342","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=139342"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/139342\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=139342"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=139342"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=139342"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}