{"id":214606,"date":"2025-05-15T05:29:27","date_gmt":"2025-05-15T05:29:27","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=214606"},"modified":"2025-05-15T05:29:29","modified_gmt":"2025-05-15T05:29:29","slug":"harriet-earns-the-same-amount-of-money-each-day-15","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/15\/harriet-earns-the-same-amount-of-money-each-day-15\/","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-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Correct Answer:<\/strong> 35h+567\\frac{35h + 56}{7}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300+ words):<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">To determine Harriet&#8217;s gross pay <strong>each day<\/strong>, we need to divide her total pay over 7 workdays by the number of days worked.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The problem tells us that <strong>Harriet earns the same amount of money each day<\/strong>, meaning her daily earnings are consistent. It also tells us that after working <strong>7 days<\/strong>, her total or <strong>gross pay<\/strong> is: 35h+56&nbsp;dollars35h + 56 \\text{ dollars}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To find the <strong>daily<\/strong> earnings (which are the same each day), we perform the operation: Daily&nbsp;Pay=Total&nbsp;PayNumber&nbsp;of&nbsp;Days&nbsp;Worked=35h+567\\text{Daily Pay} = \\frac{\\text{Total Pay}}{\\text{Number of Days Worked}} = \\frac{35h + 56}{7}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is an example of using <strong>division to find a unit rate<\/strong>, where we divide the total by the number of units (in this case, 7 days) to find the amount for just one unit (1 day).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s simplify the expression: 35h+567\\frac{35h + 56}{7}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We divide both terms in the numerator individually by 7:<\/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 class=\"wp-block-paragraph\">So the expression simplifies to: 5h+85h + 8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This means Harriet earns <strong>5h + 8 dollars per day<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, the <strong>expression<\/strong> that initially represents her <strong>gross pay each day<\/strong> is: 35h+567\\frac{35h + 56}{7}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">And the <strong>simplified expression<\/strong> is: 5h+85h + 8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So either answer may be used depending on the context, but if the question specifically asks which expression <strong>represents her gross pay each day<\/strong>, the correct and complete answer (before simplification) is: 35h+567\\boxed{\\frac{35h + 56}{7}}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This approach aligns with algebraic principles of expressions, especially distributing division across addition, and helps reinforce understanding of variables, coefficients, and simplifying expressions.<\/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: Correct Answer: 35h+567\\frac{35h + 56}{7} Explanation (300+ words): To determine Harriet&#8217;s gross pay each day, we need to divide her [&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-214606","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/214606","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=214606"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/214606\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=214606"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=214606"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=214606"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}