{"id":258638,"date":"2025-07-18T08:32:13","date_gmt":"2025-07-18T08:32:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=258638"},"modified":"2025-07-18T08:32:15","modified_gmt":"2025-07-18T08:32:15","slug":"a-baseball-team-played-82-games","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/18\/a-baseball-team-played-82-games\/","title":{"rendered":"A baseball team played 82 games."},"content":{"rendered":"\n<p>A baseball team played 82 games. The team won 7 more than twice as many games as it lost. The equation l + 2l + 7 = 82 models this relationship, where l is the number of games lost. How many games did the team lose? How many games did the team win?<\/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>We are given the equation that models the relationship between the number of games won and lost by the baseball team:l+2l+7=82l + 2l + 7 = 82l+2l+7=82<\/p>\n\n\n\n<p>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>lll represents the number of games lost,<\/li>\n\n\n\n<li>2l+72l + 72l+7 represents the number of games won, based on the fact that the team won 7 more than twice as many games as it lost,<\/li>\n\n\n\n<li>The total number of games played is 82.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Solve for lll<\/h3>\n\n\n\n<p>First, combine like terms on the left-hand side of the equation:l+2l+7=82l + 2l + 7 = 82l+2l+7=823l+7=823l + 7 = 823l+7=82<\/p>\n\n\n\n<p>Next, subtract 7 from both sides:3l=82\u221273l = 82 &#8211; 73l=82\u221273l=753l = 753l=75<\/p>\n\n\n\n<p>Now, divide both sides by 3 to solve for lll:l=753l = \\frac{75}{3}l=375\u200bl=25l = 25l=25<\/p>\n\n\n\n<p>So, the team lost 25 games.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the number of games won<\/h3>\n\n\n\n<p>We know from the problem that the team won 2l+72l + 72l+7 games. Now substitute l=25l = 25l=25 into this expression:Games&nbsp;won=2(25)+7=50+7=57\\text{Games won} = 2(25) + 7 = 50 + 7 = 57Games&nbsp;won=2(25)+7=50+7=57<\/p>\n\n\n\n<p>So, the team won 57 games.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The team lost 25 games.<\/li>\n\n\n\n<li>The team won 57 games.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The equation l+2l+7=82l + 2l + 7 = 82l+2l+7=82 expresses the total number of games as the sum of the games lost (lll) and the games won (2l+72l + 72l+7). Solving for lll gives the number of games lost, and using that result, we can find the number of games won. This gives a solution that satisfies the total number of 82 games played.<\/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-banner9-204.jpeg\" alt=\"\" class=\"wp-image-258639\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A baseball team played 82 games. The team won 7 more than twice as many games as it lost. The equation l + 2l + 7 = 82 models this relationship, where l is the number of games lost. How many games did the team lose? How many games did the team win? The Correct [&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-258638","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/258638","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=258638"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/258638\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=258638"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=258638"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=258638"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}