{"id":229687,"date":"2025-06-08T11:20:59","date_gmt":"2025-06-08T11:20:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=229687"},"modified":"2025-06-08T11:21:01","modified_gmt":"2025-06-08T11:21:01","slug":"shylas-research-shows-that-8-empty-cans-make-1-4pound-of-aluminum","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/08\/shylas-research-shows-that-8-empty-cans-make-1-4pound-of-aluminum\/","title":{"rendered":"Shyla&#8217;s research shows that 8 empty cans make 1\/4pound of aluminum"},"content":{"rendered":"\n<p><br>Shyla&#8217;s research shows that 8 empty cans make 1\/4<\/p>\n\n\n\n<p>pound of aluminum. Shyla wants to know how many cans it takes to make 5 pounds of aluminum<\/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<p>To determine how many cans are needed to make <strong>5 pounds of aluminum<\/strong>, we start by analyzing the information given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>8 empty cans<\/strong> make <strong>\u00bc pound<\/strong> of aluminum.<\/li>\n<\/ul>\n\n\n\n<p>We need to find out how many cans will make <strong>5 pounds<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Determine how many \u00bc pounds are in 5 pounds.<\/h3>\n\n\n\n<p>Since 1 pound contains 4 quarters (\u00bc):5&nbsp;pounds=5\u00d74=20&nbsp;quarters&nbsp;(\u00bc&nbsp;pounds)5 \\text{ pounds} = 5 \\times 4 = 20 \\text{ quarters (\u00bc pounds)}5&nbsp;pounds=5\u00d74=20&nbsp;quarters&nbsp;(\u00bc&nbsp;pounds)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Determine how many cans are needed for 20 quarters.<\/h3>\n\n\n\n<p>If 8 cans make \u00bc pound, then for 20 quarters:20\u00d78=160&nbsp;cans20 \\times 8 = 160 \\text{ cans}20\u00d78=160&nbsp;cans<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Final Answer: <strong>160 cans<\/strong><\/h3>\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>To solve this problem, we use proportional reasoning. Shyla\u2019s research tells us that 8 empty aluminum cans yield \u00bc pound of aluminum. This means that every \u00bc pound requires 8 cans. Her goal is to find out how many cans are needed to obtain 5 full pounds.<\/p>\n\n\n\n<p>First, we convert 5 pounds into a number of quarter-pounds, since we know the can-to-weight ratio in quarters. Since each pound is made up of four quarters, multiplying 5 pounds by 4 gives us 20 quarters (5 \u00d7 4 = 20). This step is crucial because the ratio we have\u20148 cans per \u00bc pound\u2014needs to be scaled up to match the larger amount of aluminum (5 pounds).<\/p>\n\n\n\n<p>Next, we scale up the number of cans accordingly. If 8 cans produce \u00bc pound, then to produce 20 such quarters, we multiply 8 by 20. This gives us 160 cans (8 \u00d7 20 = 160). That means it takes 160 empty aluminum cans to make 5 pounds of aluminum.<\/p>\n\n\n\n<p>This method works because the relationship between cans and aluminum is linear and consistent\u2014each additional \u00bc pound always requires 8 more cans. Therefore, proportional multiplication provides an accurate and logical way to scale from a smaller unit (\u00bc pound) to a larger total (5 pounds).<\/p>\n\n\n\n<p>Understanding this kind of ratio and unit conversion is a key math skill, especially useful in real-world scenarios like recycling, budgeting, or any case where small measurements must be scaled.<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"229688\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner6-150.jpeg\" alt=\"\" class=\"wp-image-229688\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"229689\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner7-336.jpeg\" alt=\"\" class=\"wp-image-229689\"\/><\/figure>\n<\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Shyla&#8217;s research shows that 8 empty cans make 1\/4 pound of aluminum. Shyla wants to know how many cans it takes to make 5 pounds of aluminum The Correct Answer and Explanation is: To determine how many cans are needed to make 5 pounds of aluminum, we start by analyzing the information given: We need [&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-229687","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229687","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=229687"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229687\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=229687"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=229687"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=229687"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}