{"id":208739,"date":"2025-04-28T05:13:00","date_gmt":"2025-04-28T05:13:00","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=208739"},"modified":"2025-04-28T05:13:02","modified_gmt":"2025-04-28T05:13:02","slug":"at-the-city-museum-child-admission-is-5-40-and-adult-admission-is-8-90","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/28\/at-the-city-museum-child-admission-is-5-40-and-adult-admission-is-8-90\/","title":{"rendered":"At the city museum, child admission is $5.40 and adult admission is $8.90"},"content":{"rendered":"\n<p>At the city museum, child admission is $5.40 and adult admission is $8.90. On Monday, four times as many adult tickets as child tickets were sold, for a total sales of $1066.00. How many child tickets were sold that day?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>Let&#8217;s solve the problem carefully step-by-step:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>First, define variables:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Let ( x ) = number of child tickets sold.<\/li>\n\n\n\n<li>Since <strong>four times as many adult tickets<\/strong> were sold, the number of adult tickets is ( 4x ).<\/li>\n<\/ul>\n\n\n\n<p>Next, set up the equation based on the total sales:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Child ticket price = \\$5.40<\/li>\n\n\n\n<li>Adult ticket price = \\$8.90<\/li>\n<\/ul>\n\n\n\n<p>The total money earned from child tickets = ( 5.40x )<\/p>\n\n\n\n<p>The total money earned from adult tickets = ( 8.90(4x) )<\/p>\n\n\n\n<p>Since the total sales were \\$1066.00, the equation is:<\/p>\n\n\n\n<p>[<br>5.40x + 8.90(4x) = 1066<br>]<\/p>\n\n\n\n<p>Simplify:<\/p>\n\n\n\n<p>[<br>5.40x + 35.60x = 1066<br>]<\/p>\n\n\n\n<p>[<br>41.00x = 1066<br>]<\/p>\n\n\n\n<p>Now solve for ( x ):<\/p>\n\n\n\n<p>[<br>x = \\frac{1066}{41}<br>]<\/p>\n\n\n\n<p>[<br>x = 26<br>]<\/p>\n\n\n\n<p>Thus, <strong>26 child tickets<\/strong> were sold that day.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300+ words):<\/h3>\n\n\n\n<p>This problem is a classic example of setting up and solving a <strong>system involving relationships and totals<\/strong>. We are told that the adult tickets sold were four times the number of child tickets, and the total sales revenue is given.<\/p>\n\n\n\n<p>The first step is to define what we don&#8217;t know. We let ( x ) represent the number of child tickets sold. Because there are four times as many adult tickets, the adult tickets are represented as ( 4x ).<\/p>\n\n\n\n<p>Next, we relate the number of tickets sold to the amount of money made. Each child ticket brings in \\$5.40, and each adult ticket brings in \\$8.90. Therefore, the money from child tickets is ( 5.40x ), and the money from adult tickets is ( 8.90 \\times 4x ) (which simplifies to ( 35.60x )).<\/p>\n\n\n\n<p>Adding these together gives the total money earned: ( 5.40x + 35.60x ), which simplifies nicely to ( 41.00x ). Setting that equal to \\$1066 (the total sales) gives the equation:<\/p>\n\n\n\n<p>[<br>41.00x = 1066<br>]<\/p>\n\n\n\n<p>To solve for ( x ), divide both sides by 41.00. Doing the division, we get:<\/p>\n\n\n\n<p>[<br>x = 26<br>]<\/p>\n\n\n\n<p>Thus, 26 child tickets were sold.<\/p>\n\n\n\n<p>To verify, calculate:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>26 child tickets = ( 26 \\times 5.40 = 140.40 )<\/li>\n\n\n\n<li>4 times 26 = 104 adult tickets<\/li>\n\n\n\n<li>104 adult tickets = ( 104 \\times 8.90 = 925.60 )<\/li>\n<\/ul>\n\n\n\n<p>Adding:<br>[<br>140.40 + 925.60 = 1066.00<br>]<\/p>\n\n\n\n<p>The verification confirms the answer is correct.<br>\u2705 Final Answer: <strong>26 child tickets<\/strong> were sold.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n","protected":false},"excerpt":{"rendered":"<p>At the city museum, child admission is $5.40 and adult admission is $8.90. On Monday, four times as many adult tickets as child tickets were sold, for a total sales of $1066.00. How many child tickets were sold that day? The correct answer and explanation is : Let&#8217;s solve the problem carefully step-by-step: First, define [&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-208739","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208739","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=208739"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208739\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=208739"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=208739"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=208739"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}