{"id":229276,"date":"2025-06-08T05:05:53","date_gmt":"2025-06-08T05:05:53","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=229276"},"modified":"2025-06-08T05:05:55","modified_gmt":"2025-06-08T05:05:55","slug":"declan-has-n-baseball-cards","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/08\/declan-has-n-baseball-cards\/","title":{"rendered":"Declan has n baseball cards."},"content":{"rendered":"\n<p>Declan has n baseball cards. Sam has 4 times as many baseball cards as Declan. Amaya has 7 fewer baseball cards than Sam. Which expression represents the number of baseball cards that Amaya has?<\/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<h3 class=\"wp-block-heading\">Correct Expression:<\/h3>\n\n\n\n<p>The number of baseball cards that <strong>Amaya<\/strong> has is represented by the expression:4n\u221274n &#8211; 74n\u22127<\/p>\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 determine how many baseball cards <strong>Amaya<\/strong> has, we need to analyze the information given in steps and form expressions based on the relationships described.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Declan\u2019s Cards:<\/strong><br>Declan has <strong>n<\/strong> baseball cards. This is the base amount from which we will build our expressions.<\/li>\n\n\n\n<li><strong>Sam\u2019s Cards:<\/strong><br>Sam has <strong>4 times<\/strong> as many baseball cards as Declan. This means we multiply Declan\u2019s amount by 4: Sam\u2019s\u00a0cards=4n\\text{Sam\u2019s cards} = 4nSam\u2019s\u00a0cards=4n<\/li>\n\n\n\n<li><strong>Amaya\u2019s Cards:<\/strong><br>Amaya has <strong>7 fewer<\/strong> baseball cards than Sam. The phrase \u201c7 fewer\u201d means we subtract 7 from Sam\u2019s total: Amaya\u2019s\u00a0cards=4n\u22127\\text{Amaya\u2019s cards} = 4n &#8211; 7Amaya\u2019s\u00a0cards=4n\u22127<\/li>\n<\/ol>\n\n\n\n<p>So, the expression <strong>4n &#8211; 7<\/strong> accurately represents how many baseball cards Amaya has in terms of <strong>n<\/strong>, the number of cards Declan has.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why This Expression is Correct:<\/h3>\n\n\n\n<p>This problem involves proportional reasoning and subtraction. Let\u2019s break it down conceptually:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>We start with Declan&#8217;s amount, <strong>n<\/strong>, which is a variable since we don\u2019t know the exact number.<\/li>\n\n\n\n<li>Sam has four times that amount, so multiplying by 4 is necessary.<\/li>\n\n\n\n<li>Amaya has <strong>less<\/strong> than Sam\u2014not more\u2014so we must subtract, not add.<\/li>\n\n\n\n<li>Subtracting 7 ensures that Amaya\u2019s total is <strong>7 fewer<\/strong> than Sam\u2019s.<\/li>\n<\/ul>\n\n\n\n<p>This is a typical example of how algebra can represent real-world relationships using variables and operations. By translating words like &#8220;times as many&#8221; and &#8220;fewer&#8221; into multiplication and subtraction, we create a symbolic expression that models the scenario.<\/p>\n\n\n\n<p>Thus, <strong>4n &#8211; 7<\/strong> is the correct algebraic expression for the number of baseball cards Amaya has.<\/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-banner4-695.jpeg\" alt=\"\" class=\"wp-image-229277\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Declan has n baseball cards. Sam has 4 times as many baseball cards as Declan. Amaya has 7 fewer baseball cards than Sam. Which expression represents the number of baseball cards that Amaya has? The Correct Answer and Explanation is: Correct Expression: The number of baseball cards that Amaya has is represented by the expression:4n\u221274n [&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-229276","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229276","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=229276"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229276\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=229276"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=229276"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=229276"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}