Phil and Matt made cookies for a fundraiser at their high school. Phil made 25% more cookies than Matt. The cookies sold for $0.25 each. After the sale, 20% of the combined total of their cookies remained. PART A. Create an equation to represent the total amount of money Matt and Phil earned at the fundraiser based on the number of cookies Matt made. Explain how you determined your equation. PART B. Phil and Matt made a total of $72 selling the cookies. How many cookies did Phil make and how many cookies did Matt make? Show your work. PART C. Next year Phil and Matt may sell the cookies for $0.50 each. They plan to make the same total number of cookies, but they predict that they will only sell 70% of them given the price increase. Based on their prediction, should Phil and Matt raise the price of the cookies? J<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n Let’s break it down step by step.<\/p>\n\n\n\n Let mm represent the number of cookies Matt made. Since Phil made 25% more cookies than Matt, Phil’s number of cookies is: p=1.25mp = 1.25m<\/p>\n\n\n\n The total number of cookies they made is: m+1.25m=2.25mm + 1.25m = 2.25m<\/p>\n\n\n\n Since 20% of the cookies remained unsold, they sold 80% of the total cookies: 0.8\u00d72.25m=1.8m0.8 \\times 2.25m = 1.8m<\/p>\n\n\n\n Since each cookie was sold for $0.25, the total earnings equation is: Total Revenue=0.25\u00d71.8m=0.45m\\text{Total Revenue} = 0.25 \\times 1.8m = 0.45m<\/p>\n\n\n\n This equation represents the total amount of money Phil and Matt earned based on the number of cookies Matt made.<\/p>\n\n\n\n We know they made $72 from selling cookies, so we set up the equation: 0.45m=720.45m = 72<\/p>\n\n\n\n Solving for mm: m=720.45=160m = \\frac{72}{0.45} = 160<\/p>\n\n\n\n Since Phil made 25% more cookies than Matt: p=1.25\u00d7160=200p = 1.25 \\times 160 = 200<\/p>\n\n\n\n Thus, Matt made 160 cookies<\/strong> and Phil made 200 cookies<\/strong>.<\/p>\n\n\n\n Next year, they will make the same total of 360 cookies<\/strong> but sell only 70%: 0.7\u00d7360=252 cookies sold0.7 \\times 360 = 252 \\text{ cookies sold}<\/p>\n\n\n\n At a price of $0.50 per cookie<\/strong>, their earnings would be: 252\u00d70.50=126252 \\times 0.50 = 126<\/p>\n\n\n\n Since $126 is greater than $72<\/strong>, they should raise the price<\/strong> despite selling fewer cookies.<\/p>\n\n\n\n Now, I’ll generate an image related to this scenario.<\/p>\n\n\n\n Here’s the image representing Phil and Matt’s high school fundraiser bake sale. Let me know if you need any modifications or additional details!<\/p>\n\n\n","protected":false},"excerpt":{"rendered":" Phil and Matt made cookies for a fundraiser at their high school. Phil made 25% more cookies than Matt. The cookies sold for $0.25 each. After the sale, 20% of the combined total of their cookies remained. PART A. Create an equation to represent the total amount of money Matt and Phil earned at 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-202635","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/202635","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=202635"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/202635\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=202635"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=202635"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=202635"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}PART A: Create an Equation<\/strong><\/h3>\n\n\n\n
\n\n\n\nPART B: Solve for mm and pp<\/strong><\/h3>\n\n\n\n
\n\n\n\nPART C: Should They Raise the Price?<\/strong><\/h3>\n\n\n\n
\n\n\n\nFinal Answer Summary:<\/strong><\/h3>\n\n\n\n
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