{"id":273401,"date":"2025-07-27T12:05:30","date_gmt":"2025-07-27T12:05:30","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=273401"},"modified":"2025-07-27T12:05:34","modified_gmt":"2025-07-27T12:05:34","slug":"try-it-eula-needs-to-buy-binders-that-cost-4-each-and-notebooks-that-cost-2-each","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/27\/try-it-eula-needs-to-buy-binders-that-cost-4-each-and-notebooks-that-cost-2-each\/","title":{"rendered":"Try It Eula needs to buy binders that cost $4 each and notebooks that cost $2 each.\u00a0"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-946.png\" alt=\"\" class=\"wp-image-273402\"\/><\/figure>\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<p>Here are the correct answers to the questions:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>What is the greatest number of binders Eula can buy?\u00a0<strong>5<\/strong><\/li>\n\n\n\n<li>What is the greatest number of notebooks Eula can buy?\u00a0<strong>10<\/strong><\/li>\n\n\n\n<li>If Eula buys 7 notebooks, what is the greatest number of binders she can buy?\u00a0<strong>1<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>The problem is represented by the inequality 4x + 2y \u2264 20, where x is the number of binders and y is the number of notebooks. The shaded region on the graph shows all the possible combinations of binders and notebooks that Eula can purchase with her $20 budget.<\/p>\n\n\n\n<p>To find the greatest number of binders Eula can buy, we assume she buys zero notebooks. In this case, we set y equal to 0 in the inequality. This gives us 4x + 2(0) \u2264 20, which simplifies to 4x \u2264 20. Dividing both sides by 4, we find that x \u2264 5. This means the maximum number of binders she can buy is 5. On the graph, this point is the x-intercept (5, 0), which is the furthest point on the horizontal &#8220;Number of Binders&#8221; axis within the shaded area.<\/p>\n\n\n\n<p>To find the greatest number of notebooks Eula can buy, we assume she buys zero binders. We set x equal to 0 in the inequality, resulting in 4(0) + 2y \u2264 20, or 2y \u2264 20. Dividing by 2 gives y \u2264 10. The maximum number of notebooks is 10. This is represented by the y-intercept on the graph at (0, 10), the highest point on the vertical &#8220;Number of Notebooks&#8221; axis.<\/p>\n\n\n\n<p>For the third question, we are told Eula buys 7 notebooks, so y = 7. We substitute this value into the inequality to find the maximum number of binders she can afford. The calculation is 4x + 2(7) \u2264 20, which becomes 4x + 14 \u2264 20. Subtracting 14 from both sides leaves us with 4x \u2264 6. When we divide by 4, we get x \u2264 1.5. Since Eula cannot purchase half a binder, we must take the greatest whole number that satisfies this condition, which is 1. Therefore, she can buy a maximum of 1 binder if she buys 7 notebooks.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-2279.jpeg\" alt=\"\" class=\"wp-image-273403\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: Here are the correct answers to the questions: Explanation The problem is represented by the inequality 4x + 2y \u2264 20, where x is the number of binders and y is the number of notebooks. The shaded region on the graph shows all the possible combinations of binders and [&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-273401","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/273401","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=273401"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/273401\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=273401"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=273401"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=273401"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}