{"id":154083,"date":"2024-10-13T21:28:53","date_gmt":"2024-10-13T21:28:53","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=154083"},"modified":"2024-10-13T21:28:56","modified_gmt":"2024-10-13T21:28:56","slug":"richard-bought-3-slices-of-cheese-pizza-and-2-sodas-for-8-75","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/13\/richard-bought-3-slices-of-cheese-pizza-and-2-sodas-for-8-75\/","title":{"rendered":"Richard bought 3 slices of cheese pizza and 2 sodas for $8.75."},"content":{"rendered":"\n<p>Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?<br>A. $3.25<br>B. $5.25<br>C. $7.75<br>D. $7.25<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The Correct Answer: B. $5.25<\/p>\n\n\n\n<p>To determine how much an order of 1 slice of cheese pizza and 3 sodas would cost, we can set up a system of equations based on the purchases made by Richard and Jordan.<\/p>\n\n\n\n<p>Let&#8217;s define the variables:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Let ( p ) be the price of one slice of cheese pizza.<\/li>\n\n\n\n<li>Let ( s ) be the price of one soda.<\/li>\n<\/ul>\n\n\n\n<p>From the information provided, we can set up the following equations:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Richard&#8217;s purchase:<br>[<br>3p + 2s = 8.75<br>]<\/li>\n\n\n\n<li>Jordan&#8217;s purchase:<br>[<br>2p + 4s = 8.50<br>]<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Solve the system of equations<\/h3>\n\n\n\n<p>To eliminate one of the variables, we can manipulate the equations. Let\u2019s multiply the first equation by 2 to align the coefficients of ( s ):<\/p>\n\n\n\n<p>[<br>2(3p + 2s) = 2(8.75)<br>]<br>This simplifies to:<br>[<br>6p + 4s = 17.50 \\quad \\text{(Equation 3)}<br>]<\/p>\n\n\n\n<p>Now, we have:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Equation 3: ( 6p + 4s = 17.50 )<\/li>\n\n\n\n<li>Equation 2: ( 2p + 4s = 8.50 )<\/li>\n<\/ul>\n\n\n\n<p>Next, we can subtract Equation 2 from Equation 3:<\/p>\n\n\n\n<p>[<br>(6p + 4s) &#8211; (2p + 4s) = 17.50 &#8211; 8.50<br>]<br>This simplifies to:<br>[<br>4p = 9.00<br>]<br>Dividing both sides by 4 gives us:<br>[<br>p = 2.25<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Substitute to find ( s )<\/h3>\n\n\n\n<p>Now that we have ( p ), we can substitute it back into either original equation to find ( s ). Let\u2019s use the first equation:<\/p>\n\n\n\n<p>[<br>3(2.25) + 2s = 8.75<br>]<br>This simplifies to:<br>[<br>6.75 + 2s = 8.75<br>]<br>Subtracting 6.75 from both sides yields:<br>[<br>2s = 2.00<br>]<br>Dividing by 2 gives:<br>[<br>s = 1.00<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Calculate the cost of 1 slice of pizza and 3 sodas<\/h3>\n\n\n\n<p>Now, we can calculate the total cost for 1 slice of cheese pizza and 3 sodas:<\/p>\n\n\n\n<p>[<br>\\text{Total cost} = 1p + 3s = 1(2.25) + 3(1.00) = 2.25 + 3.00 = 5.25<br>]<\/p>\n\n\n\n<p>Thus, the cost of an order of 1 slice of cheese pizza and 3 sodas is <strong>$5.25<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?A. $3.25B. $5.25C. $7.75D. $7.25 The Correct Answer and Explanation is: The Correct Answer: B. $5.25 To [&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-154083","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/154083","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=154083"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/154083\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=154083"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=154083"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=154083"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}