{"id":226310,"date":"2025-06-05T05:51:13","date_gmt":"2025-06-05T05:51:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226310"},"modified":"2025-06-05T05:51:16","modified_gmt":"2025-06-05T05:51:16","slug":"orion-buys-3-books-for-a-total-of","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/05\/orion-buys-3-books-for-a-total-of\/","title":{"rendered":"Orion buys 3 books for a total of"},"content":{"rendered":"\n<p>Orion buys 3 books for a total of<br>8 plus sales tax for each book. He wants to know how much the sales tax is for one book. Which quantity is unknown? the sales tax for each book Let t equal the sales tax Orion pays for each book. Write an equation that represents the situation.<\/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\/image-138.png\" alt=\"\" class=\"wp-image-226311\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Correct Equation:<\/h3>\n\n\n\n<p>Let tt be the sales tax for each book.<\/p>\n\n\n\n<p>Orion pays $8 plus sales tax per book, so the total cost per book is 8+t8 + t.<br>He buys 3 books, and the total cost is $25.50.<\/p>\n\n\n\n<p>So the equation is: 3(8+t)=25.503(8 + t) = 25.50<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcdd Explanatio<\/h3>\n\n\n\n<p>This problem involves setting up an equation to find an unknown value using the information provided. Let&#8217;s break it down step-by-step.<\/p>\n\n\n\n<p>We are told that Orion buys 3 books for a total of <strong>$25.50<\/strong>. For each book, he pays <strong>$8 plus sales tax<\/strong>. The goal is to find out how much the <strong>sales tax per book<\/strong> is, which is the <strong>unknown quantity<\/strong>.<\/p>\n\n\n\n<p>We define this unknown value with a variable:<br>Let tt represent the <strong>sales tax per book<\/strong>.<\/p>\n\n\n\n<p>The total price for one book is then: 8+t8 + t<\/p>\n\n\n\n<p>This represents the base price of $8, plus the additional unknown tax tt.<\/p>\n\n\n\n<p>Since Orion bought 3 books, the total amount he paid is the cost of one book multiplied by 3: 3\u00d7(8+t)3 \\times (8 + t)<\/p>\n\n\n\n<p>We are told that this total is equal to <strong>$25.50<\/strong>, so we write the equation: 3(8+t)=25.503(8 + t) = 25.50<\/p>\n\n\n\n<p>This is a linear equation with one variable, and it models the situation perfectly. From here, we can solve the equation by distributing and isolating tt: 3(8+t)=25.50\u21d224+3t=25.50\u21d23t=1.50\u21d2t=0.503(8 + t) = 25.50 \\Rightarrow 24 + 3t = 25.50 \\Rightarrow 3t = 1.50 \\Rightarrow t = 0.50<\/p>\n\n\n\n<p>So, the sales tax per book is <strong>$0.50<\/strong>.<\/p>\n\n\n\n<p>This problem demonstrates how to use algebra to model a real-world scenario by translating words into mathematical expressions and solving for an unknown.<\/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-banner4-418.jpeg\" alt=\"\" class=\"wp-image-226312\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Orion buys 3 books for a total of8 plus sales tax for each book. He wants to know how much the sales tax is for one book. Which quantity is unknown? the sales tax for each book Let t equal the sales tax Orion pays for each book. Write an equation that represents the situation. [&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-226310","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226310","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=226310"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226310\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226310"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226310"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226310"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}