{"id":160805,"date":"2024-11-03T12:52:40","date_gmt":"2024-11-03T12:52:40","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=160805"},"modified":"2024-11-03T12:52:42","modified_gmt":"2024-11-03T12:52:42","slug":"an-orange-has-about-41-cup-of-juice","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/03\/an-orange-has-about-41-cup-of-juice\/","title":{"rendered":"An orange has about\u00a041\u200b -cup of juice"},"content":{"rendered":"\n

An orange has about
4
1
\u200b
-cup of juice. How many oranges are needed to make 2
2
1
\u200b
-cups of juice? Which equations represent this question?<\/p>\n\n\n\n

    \n
  1. ?\u00d7
    4
    1
    \u200b
    =2
    2
    1
    \u200b<\/li>\n\n\n\n

  2. 4
    1
    \u200b
    \u00f72
    2
    1
    \u200b
    =? 3. ?\u00d72
    4
    1
    \u200b
    =
    4
    1
    \u200b<\/li>\n\n\n\n
  3. 2
    2
    1
    \u200b
    \u00f7
    4
    1
    \u200b
    =?<\/li>\n<\/ol>\n\n\n\n

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

    To find out how many oranges are needed to make (2 \\frac{2}{1}) cups of juice when each orange yields (4 \\frac{1}{4}) cups, we can set up a few equations.<\/p>\n\n\n\n

    Conversion of Mixed Numbers<\/h3>\n\n\n\n

    First, let’s convert the mixed numbers to improper fractions for easier calculations:<\/p>\n\n\n\n

      \n
    1. For (4 \\frac{1}{4})<\/strong>:
      [
      4 \\frac{1}{4} = 4 + \\frac{1}{4} = \\frac{16}{4} + \\frac{1}{4} = \\frac{17}{4}
      ]<\/li>\n\n\n\n
    2. For (2 \\frac{2}{1})<\/strong>:
      [
      2 \\frac{2}{1} = 2 + 2 = 4
      ]<\/li>\n<\/ol>\n\n\n\n

      Setting Up the Equation<\/h3>\n\n\n\n

      To determine the number of oranges needed ((x)), we can set up the equation:<\/p>\n\n\n\n

      [
      x \\times \\frac{17}{4} = 4
      ]<\/p>\n\n\n\n

      Solving the Equation<\/h3>\n\n\n\n

      To isolate (x), divide both sides by (\\frac{17}{4}):<\/p>\n\n\n\n

      [
      x = 4 \\div \\frac{17}{4} = 4 \\times \\frac{4}{17} = \\frac{16}{17}
      ]<\/p>\n\n\n\n

      This result indicates that you need (\\frac{16}{17}) of an orange to produce (4) cups of juice, which is less than one full orange.<\/p>\n\n\n\n

      Evaluating the Options<\/h3>\n\n\n\n

      Now, let\u2019s match the equations provided with our situation:<\/p>\n\n\n\n

        \n
      1. (? \\times \\frac{17}{4} = 4) (Correct)<\/strong><\/li>\n<\/ol>\n\n\n\n
          \n
        • This represents our main equation.<\/li>\n<\/ul>\n\n\n\n
            \n
          1. (\\frac{17}{4} \\div 4 = ?) (Incorrect)<\/strong><\/li>\n<\/ol>\n\n\n\n
              \n
            • This doesn\u2019t answer the question about how many oranges are needed.<\/li>\n<\/ul>\n\n\n\n
                \n
              1. (? \\times 2 \\frac{17}{4} = \\frac{17}{4}) (Incorrect)<\/strong><\/li>\n<\/ol>\n\n\n\n
                  \n
                • This equation is also irrelevant to the problem.<\/li>\n<\/ul>\n\n\n\n
                    \n
                  1. (4 \\div \\frac{17}{4} = ?) (Correct)<\/strong><\/li>\n<\/ol>\n\n\n\n
                      \n
                    • This is equivalent to our main equation in a different form.<\/li>\n<\/ul>\n\n\n\n

                      Conclusion<\/h3>\n\n\n\n

                      In conclusion, to produce (2 \\frac{2}{1}) (or 4) cups of juice, you need (\\frac{16}{17}) of an orange, meaning that slightly less than one full orange is required. The correct equation that represents this relationship is (? \\times \\frac{17}{4} = 4).<\/p>\n\n\n\n

                      This calculation highlights the utility of understanding mixed numbers and how to set up equations to solve for unknown quantities in practical scenarios like juice extraction.<\/p>\n","protected":false},"excerpt":{"rendered":"

                      An orange has about41\u200b-cup of juice. How many oranges are needed to make 221\u200b-cups of juice? Which equations represent this question? The Correct Answer and Explanation is : To find out how many oranges are needed to make (2 \\frac{2}{1}) cups of juice when each orange yields (4 \\frac{1}{4}) cups, we can set up a […]<\/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-160805","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160805","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=160805"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160805\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160805"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160805"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160805"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}