{"id":230673,"date":"2025-06-09T19:35:14","date_gmt":"2025-06-09T19:35:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230673"},"modified":"2025-06-09T19:35:16","modified_gmt":"2025-06-09T19:35:16","slug":"zara-bought-2-4-pounds-of-grapes-and-a-watermelon-that-cost-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/09\/zara-bought-2-4-pounds-of-grapes-and-a-watermelon-that-cost-2\/","title":{"rendered":"Zara bought 2.4 pounds of grapes and a watermelon that cost"},"content":{"rendered":"\n<p><br>Zara bought 2.4 pounds of grapes and a watermelon that cost<br>7.32. Which describes a way to determine x, the price per pound for the grapes? Divide 7.32 by 2.4 and then subtract 5.28 from the quotient. Subtract 5.28 from 7.32 and then divide the difference by 2.4. Solve for x in the equation 2.4x &#8211; 5.28 = 7.32. Solve for x in the equation 2.4 (x + 5.28) = 7.32.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h6 class=\"wp-block-heading\">ChatGPT said:<\/h6>\n\n\n\n<p><strong>Correct answer:<\/strong><br><strong>Subtract 5.28 from 7.32 and then divide the difference by 2.4.<\/strong><\/p>\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>Let&#8217;s carefully analyze the problem:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Zara bought <strong>2.4 pounds of grapes<\/strong>.<\/li>\n\n\n\n<li>She also bought a <strong>watermelon that cost $7.32<\/strong>.<\/li>\n\n\n\n<li>We want to find <strong>x<\/strong>, the price per pound for the grapes.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Understanding the total cost<\/h4>\n\n\n\n<p>Since Zara bought grapes and a watermelon, the total cost she paid is the sum of the cost of grapes plus the cost of the watermelon.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Cost of grapes = price per pound \u00d7 number of pounds = 2.4\u00d7x2.4 \\times x2.4\u00d7x<\/li>\n\n\n\n<li>Cost of watermelon = $7.32<\/li>\n<\/ul>\n\n\n\n<p>So, the <strong>total amount spent<\/strong> is:Cost&nbsp;of&nbsp;grapes+Cost&nbsp;of&nbsp;watermelon=total&nbsp;cost\\text{Cost of grapes} + \\text{Cost of watermelon} = \\text{total cost}Cost&nbsp;of&nbsp;grapes+Cost&nbsp;of&nbsp;watermelon=total&nbsp;cost<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: The missing piece: What is the total cost?<\/h4>\n\n\n\n<p>The problem as stated seems to imply that Zara bought grapes and a watermelon, and somewhere we know the total amount she spent or some related figure involving 5.28. Since it\u2019s not clearly stated, but the options mention 5.28, let\u2019s assume <strong>5.28 is the total amount Zara spent<\/strong> or the amount related to the grapes. Let\u2019s test the options by interpreting 5.28 as the cost of grapes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Cost of grapes = 5.28<\/li>\n\n\n\n<li>Cost of watermelon = 7.32<\/li>\n<\/ul>\n\n\n\n<p>If this is the case, then Zara spent a total of:5.28+7.32=12.605.28 + 7.32 = 12.605.28+7.32=12.60<\/p>\n\n\n\n<p>Alternatively, if 7.32 is the total Zara spent on grapes and watermelon combined, and 5.28 is the cost of the watermelon or grapes, we can adjust accordingly.<\/p>\n\n\n\n<p>Since the problem states the watermelon costs 7.32, let&#8217;s say the total cost of grapes plus watermelon is unknown, but we want to solve for xxx \u2014 the price per pound of grapes.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 3: Evaluating each given option<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>&#8220;Divide 7.32 by 2.4 and then subtract 5.28 from the quotient.&#8221;<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This means: 7.322.4\u22125.28\\frac{7.32}{2.4} &#8211; 5.282.47.32\u200b\u22125.28<\/li>\n\n\n\n<li>This operation does not represent a logical step for finding the price per pound of grapes because 7.32 is the watermelon price alone, and dividing it by the weight of grapes (2.4) doesn\u2019t relate directly.<\/li>\n<\/ul>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li><strong>&#8220;Subtract 5.28 from 7.32 and then divide the difference by 2.4.&#8221;<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This means: 7.32\u22125.282.4\\frac{7.32 &#8211; 5.28}{2.4}2.47.32\u22125.28\u200b<\/li>\n\n\n\n<li>This expression implies: total cost (7.32) minus watermelon cost (5.28) gives the grapes cost, then divide by pounds to get price per pound.<\/li>\n\n\n\n<li>This makes sense <strong>if<\/strong> 7.32 represents the total cost of both items, and 5.28 is the cost of watermelon (or vice versa).<\/li>\n\n\n\n<li>This method correctly isolates the grape cost, then finds the price per pound.<\/li>\n<\/ul>\n\n\n\n<ol start=\"3\" class=\"wp-block-list\">\n<li><strong>&#8220;Solve for x in the equation 2.4x &#8211; 5.28 = 7.32.&#8221;<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Rearranged, this is 2.4x=7.32+5.28=12.62.4x = 7.32 + 5.28 = 12.62.4x=7.32+5.28=12.6, so x=12.62.4=5.25x = \\frac{12.6}{2.4} = 5.25x=2.412.6\u200b=5.25.<\/li>\n\n\n\n<li>This means the grapes cost $12.6, which contradicts the given prices (watermelon cost is 7.32).<\/li>\n\n\n\n<li>This equation mixes costs improperly.<\/li>\n<\/ul>\n\n\n\n<ol start=\"4\" class=\"wp-block-list\">\n<li><strong>&#8220;Solve for x in the equation 2.4(x + 5.28) = 7.32.&#8221;<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This means: 2.4x+2.4\u00d75.28=7.322.4x + 2.4 \\times 5.28 = 7.322.4x+2.4\u00d75.28=7.32<\/li>\n\n\n\n<li>2.4x+12.672=7.322.4x + 12.672 = 7.322.4x+12.672=7.32<\/li>\n\n\n\n<li>2.4x=7.32\u221212.672=\u22125.3522.4x = 7.32 &#8211; 12.672 = -5.3522.4x=7.32\u221212.672=\u22125.352<\/li>\n\n\n\n<li>x=\u22122.23x = -2.23x=\u22122.23 (negative price per pound)<\/li>\n\n\n\n<li>Negative price is nonsensical, so this is incorrect.<\/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\">Final conclusion:<\/h3>\n\n\n\n<p>The best description that matches a realistic way to find the price per pound of grapes is:Subtract&nbsp;5.28&nbsp;from&nbsp;7.32&nbsp;and&nbsp;then&nbsp;divide&nbsp;the&nbsp;difference&nbsp;by&nbsp;2.4.\\boxed{ \\text{Subtract 5.28 from 7.32 and then divide the difference by 2.4.} }Subtract&nbsp;5.28&nbsp;from&nbsp;7.32&nbsp;and&nbsp;then&nbsp;divide&nbsp;the&nbsp;difference&nbsp;by&nbsp;2.4.\u200b<\/p>\n\n\n\n<p>This means:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If 7.32 is the total amount Zara paid for grapes and watermelon combined,<\/li>\n\n\n\n<li>and 5.28 is the cost of the watermelon,<\/li>\n\n\n\n<li>then subtracting gives the cost of grapes,<\/li>\n\n\n\n<li>dividing by the weight of grapes (2.4 pounds) gives the price per pound of grapes.<\/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\">Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The cost of grapes = total cost \u2013 watermelon cost = 7.32\u22125.287.32 &#8211; 5.287.32\u22125.28.<\/li>\n\n\n\n<li>Price per pound of grapes x=cost\u00a0of\u00a0grapesweight=7.32\u22125.282.4x = \\frac{\\text{cost of grapes}}{\\text{weight}} = \\frac{7.32 &#8211; 5.28}{2.4}x=weightcost\u00a0of\u00a0grapes\u200b=2.47.32\u22125.28\u200b.<\/li>\n<\/ul>\n\n\n\n<p>This approach aligns with common word problem-solving techniques where you isolate the unknown cost and then divide by quantity to find the unit price.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-77.jpeg\" alt=\"\" class=\"wp-image-230674\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Zara bought 2.4 pounds of grapes and a watermelon that cost7.32. Which describes a way to determine x, the price per pound for the grapes? Divide 7.32 by 2.4 and then subtract 5.28 from the quotient. Subtract 5.28 from 7.32 and then divide the difference by 2.4. Solve for x in the equation 2.4x &#8211; [&hellip;]<\/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-230673","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230673","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=230673"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230673\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230673"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230673"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230673"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}