{"id":212647,"date":"2025-05-07T13:55:26","date_gmt":"2025-05-07T13:55:26","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=212647"},"modified":"2025-05-07T13:55:27","modified_gmt":"2025-05-07T13:55:27","slug":"harriet-earns-the-same-amount-of-money-each-day-11","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/07\/harriet-earns-the-same-amount-of-money-each-day-11\/","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><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>To find how much Harriet earns each day, we are given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Her total <strong>gross pay for 7 days<\/strong> is: 35h+5635h + 56<\/li>\n<\/ul>\n\n\n\n<p>Since she earns <strong>the same amount each day<\/strong>, we divide her total pay by 7 to find her <strong>daily pay<\/strong>:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Divide the total gross pay by 7<\/h3>\n\n\n\n<p>35h+567\\frac{35h + 56}{7}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Use distributive property to simplify<\/h3>\n\n\n\n<p>We 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: 5h+8\\boxed{5h + 8}<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcd8 <strong>Explanation (300+ words)<\/strong><\/h3>\n\n\n\n<p>This problem involves <strong>algebraic expressions<\/strong> and <strong>division of polynomials<\/strong>. Harriet\u2019s total gross pay over 7 workdays is given as an algebraic expression: 35h+5635h + 56. This means that her total pay is made up of two parts: a variable part (35h35h) and a constant part (56). The variable part likely depends on hours worked or a rate associated with a variable \u201ch\u201d.<\/p>\n\n\n\n<p>Since Harriet earns the <strong>same amount each day<\/strong>, we are asked to find how much she earns <strong>per day<\/strong>. To find this, we must divide the total amount she earned over the 7 days by 7. In algebra, this is written as: 35h+567\\frac{35h + 56}{7}<\/p>\n\n\n\n<p>When dividing an algebraic expression by a constant, you divide each term in the expression separately. This uses the <strong>distributive property of division<\/strong> over addition. That means: 35h+567=35h7+567\\frac{35h + 56}{7} = \\frac{35h}{7} + \\frac{56}{7}<\/p>\n\n\n\n<p>Now we simplify each term:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>35h7=5h\\frac{35h}{7} = 5h<\/li>\n\n\n\n<li>567=8\\frac{56}{7} = 8<\/li>\n<\/ul>\n\n\n\n<p>So, Harriet earns: 5h+85h + 8<\/p>\n\n\n\n<p>each day. This expression tells us that each day, Harriet\u2019s earnings are a combination of a variable part (5h5h) and a fixed amount (88). This type of question helps students practice key algebra skills, such as simplifying expressions and understanding variables in context.<\/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 how much Harriet earns each day, we are given: Since she earns the same amount each day, we [&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-212647","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/212647","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=212647"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/212647\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=212647"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=212647"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=212647"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}