{"id":25092,"date":"2025-06-18T20:27:46","date_gmt":"2025-06-18T20:27:46","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=25092"},"modified":"2025-06-18T20:27:47","modified_gmt":"2025-06-18T20:27:47","slug":"one-batch-of-walnut-muffins-uses-1-1-3-cups-of-walnuts","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/one-batch-of-walnut-muffins-uses-1-1-3-cups-of-walnuts\/","title":{"rendered":"One batch of walnut muffins uses 1 1\/3 cups of walnuts"},"content":{"rendered":"\n<p>One batch of walnut muffins uses 1 1\/3 cups of walnuts. How many cups of walnuts are needed to make 3 3\/4 batch of muffins? <\/p>\n\n\n\n<p>A. 4 cups <\/p>\n\n\n\n<p>B. 5 cups <\/p>\n\n\n\n<p>C. 3 3\/12 cups <\/p>\n\n\n\n<p>D. 5 1\/12 cups<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>Let&#8217;s solve the problem step-by-step:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Problem:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>One batch of walnut muffins requires <strong>1 1\/3 cups<\/strong> of walnuts.<\/li>\n\n\n\n<li>How many cups of walnuts are needed for <strong>3 3\/4 batches<\/strong>?<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert mixed numbers to improper fractions<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>1 1\/3<\/strong> cups = 1+13=33+13=431 + \\frac{1}{3} = \\frac{3}{3} + \\frac{1}{3} = \\frac{4}{3} cups.<\/li>\n\n\n\n<li><strong>3 3\/4<\/strong> batches = 3+34=124+34=1543 + \\frac{3}{4} = \\frac{12}{4} + \\frac{3}{4} = \\frac{15}{4} batches.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Multiply the walnuts per batch by the number of batches<\/h3>\n\n\n\n<p>We want: Total&nbsp;walnuts=43\u00d7154\\text{Total walnuts} = \\frac{4}{3} \\times \\frac{15}{4}<\/p>\n\n\n\n<p>Multiply the numerators and denominators: =4\u00d7153\u00d74=6012=5= \\frac{4 \\times 15}{3 \\times 4} = \\frac{60}{12} = 5<\/p>\n\n\n\n<p>So, 5 cups of walnuts are needed.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Match the answer to the options<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. 4 cups<\/strong><\/li>\n\n\n\n<li><strong>B. 5 cups<\/strong> \u2190 This is the correct answer.<\/li>\n\n\n\n<li><strong>C. 3 3\/12 cups<\/strong><\/li>\n\n\n\n<li><strong>D. 5 1\/12 cups<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>This problem requires you to multiply a fractional amount by another fractional amount. When multiplying mixed numbers (like 1 1\/3 and 3 3\/4), it\u2019s easier to first convert them into improper fractions. This allows straightforward multiplication of numerators and denominators.<\/p>\n\n\n\n<p>Here, 1 1\/3 cups converted to 43\\frac{4}{3} cups represents the amount of walnuts per single batch. Then, multiplying by 3 3\/4 batches (154\\frac{15}{4}) gives the total amount of walnuts needed.<\/p>\n\n\n\n<p>Multiplying 43\\frac{4}{3} by 154\\frac{15}{4}, the 4 in the numerator cancels with the 4 in the denominator, simplifying the multiplication to 153\\frac{15}{3}, which is 5.<\/p>\n\n\n\n<p>Therefore, to make 3 3\/4 batches, you need 5 cups of walnuts.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Final answer: B. 5 cups<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>One batch of walnut muffins uses 1 1\/3 cups of walnuts. How many cups of walnuts are needed to make 3 3\/4 batch of muffins? A. 4 cups B. 5 cups C. 3 3\/12 cups D. 5 1\/12 cups The correct answer and explanation is: Let&#8217;s solve the problem step-by-step: Problem: Step 1: Convert mixed [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-25092","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25092","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=25092"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25092\/revisions"}],"predecessor-version":[{"id":25093,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25092\/revisions\/25093"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=25092"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=25092"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=25092"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}