{"id":211410,"date":"2025-05-03T20:40:16","date_gmt":"2025-05-03T20:40:16","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=211410"},"modified":"2025-05-03T20:41:12","modified_gmt":"2025-05-03T20:41:12","slug":"harriet-earns-the-same-amount-of-money-each-day-8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/03\/harriet-earns-the-same-amount-of-money-each-day-8\/","title":{"rendered":"Harriet earns the same amount of money each day"},"content":{"rendered":"\n<p>Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars. Which expression represents her gross pay each 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>The problem states that Harriet earns the same amount of money each day, and her total gross pay at the end of 7 workdays is represented as $35h + 56$ dollars. We are asked to determine the expression that represents her gross pay each day.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Explanation:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understanding the total pay<\/strong>:<br>Harriet&#8217;s total pay after 7 workdays is given as $35h + 56$ dollars. This total pay can be broken down into her daily earnings multiplied by the number of workdays. Since she works 7 days and earns the same amount each day, her daily pay is the same every day.<\/li>\n\n\n\n<li><strong>Define the daily pay<\/strong>:<br>Let&#8217;s define the daily pay as $x$, where $x$ represents the amount of money Harriet earns each day. After 7 days, the total pay would then be expressed as: $$<br>7x<br>$$ This is the total amount of money Harriet earns after working 7 days.<\/li>\n\n\n\n<li><strong>Set up an equation<\/strong>:<br>We are told that her total pay after 7 days is $35h + 56$. Therefore, we can set up the equation: $$<br>7x = 35h + 56<br>$$ This equation tells us that Harriet\u2019s total pay for 7 days is equal to $35h + 56$.<\/li>\n\n\n\n<li><strong>Solve for $x$<\/strong> (her daily pay):<br>To find the expression for her daily pay, we solve for $x$ by dividing both sides of the equation by 7: $$<br>x = \\frac{35h + 56}{7}<br>$$ Simplifying the right-hand side: $$<br>x = \\frac{35h}{7} + \\frac{56}{7}<br>$$ $$<br>x = 5h + 8<br>$$<\/li>\n\n\n\n<li><strong>Conclusion<\/strong>:<br>Harriet\u2019s gross pay each day is represented by the expression $5h + 8$ dollars. This means that for each day she works, Harriet earns $5h + 8$ dollars.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The expression that represents Harriet&#8217;s gross pay each day is $\\boxed{5h + 8}$.<\/p>\n\n\n\n<p>This method uses basic algebraic principles to break down the total pay into the daily pay, providing a clear solution to the problem.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars. Which expression represents her gross pay each day? The correct answer and explanation is : The problem states that Harriet earns the same amount of money each day, and her total gross pay at [&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-211410","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211410","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=211410"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211410\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=211410"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=211410"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=211410"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}