{"id":216459,"date":"2025-05-19T09:33:19","date_gmt":"2025-05-19T09:33:19","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=216459"},"modified":"2025-05-19T09:33:21","modified_gmt":"2025-05-19T09:33:21","slug":"harriet-earns-the-same-amount-of-money-each-day-16","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/19\/harriet-earns-the-same-amount-of-money-each-day-16\/","title":{"rendered":"Harriet earns the same amount of money each day."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">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 class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To find Harriet\u2019s <strong>gross pay each day<\/strong>, we are told that:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Her <strong>total gross pay for 7 days<\/strong> is represented by the expression: 35h+5635h + 56<\/li>\n\n\n\n<li>Since she <strong>earns the same amount each day<\/strong>, we divide the total expression by 7 to find her <strong>daily pay<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-step:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Daily&nbsp;pay=35h+567\\text{Daily pay} = \\frac{35h + 56}{7}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now divide each term in the numerator by 7: =35h7+567= \\frac{35h}{7} + \\frac{56}{7} =5h+8= 5h + 8<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Correct Answer:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">5h+8\\boxed{5h + 8}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcac Explanation (300+ words):<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">This problem is a good example of how to use <strong>algebraic expressions<\/strong> and the <strong>distributive property<\/strong> to solve real-world problems involving money and consistent pay rates. Harriet earns the same amount each day, which implies her <strong>daily pay is constant<\/strong>. Her total pay after 7 days is given by the expression 35h+5635h + 56, where hh is likely a variable tied to her hourly rate, hours worked, or some other factor that affects her pay.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To find out how much she earns <strong>each day<\/strong>, we need to <strong>divide the total pay by 7<\/strong>, the number of days she worked. This method is based on the concept of <strong>equally distributing<\/strong> a quantity over a number of units\u2014in this case, dollars over days.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">When dividing a polynomial by a constant, you divide <strong>each term<\/strong> in the expression separately. So, 35h35h divided by 7 becomes 5h5h, and 56 divided by 7 becomes 8. This gives us a simplified algebraic expression for Harriet\u2019s <strong>gross daily pay<\/strong>: 5h+85h + 8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This result means that each day, Harriet earns an amount that depends on both a <strong>variable component<\/strong> (5h5h) and a <strong>fixed amount<\/strong> ($8). This could reflect a payment structure where she earns $5 per hour (if hh is hours worked) plus a fixed bonus or allowance of $8 per day.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Understanding how to manipulate and simplify algebraic expressions is crucial for solving real-world problems, especially in finance, budgeting, and payroll calculations.<\/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: To find Harriet\u2019s gross pay each day, we are told that: Step-by-step: Daily&nbsp;pay=35h+567\\text{Daily pay} = \\frac{35h + 56}{7} Now divide [&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-216459","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/216459","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=216459"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/216459\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=216459"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=216459"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=216459"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}