{"id":211628,"date":"2025-05-04T17:46:07","date_gmt":"2025-05-04T17:46:07","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=211628"},"modified":"2025-05-04T17:46:14","modified_gmt":"2025-05-04T17:46:14","slug":"harriet-earns-the-same-amount-of-money-each-day-10","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/04\/harriet-earns-the-same-amount-of-money-each-day-10\/","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>To determine Harriet&#8217;s daily gross pay, we start with the information that her total gross pay over 7 workdays is represented by the expression $35h + 56$ dollars. Since she earns the same amount each day, we can find her daily earnings by dividing the total gross pay by the number of workdays:<\/p>\n\n\n\n<p>$$<br>\\text{Daily Gross Pay} = \\frac{35h + 56}{7}<br>$$<\/p>\n\n\n\n<p>To simplify this expression, we divide each term in the numerator by 7<\/p>\n\n\n\n<p>$$<br>\\frac{35h}{7} + \\frac{56}{7} = 5h + 8<br>$$<\/p>\n\n\n\n<p>Therefore, the expression representing Harriet&#8217;s gross pay each day is $5h + 8$.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Detailed Explanation<\/h3>\n\n\n\n<p><strong>Understanding the Problem:<\/strong><\/p>\n\n\n\n<p>Harriet&#8217;s total earnings over 7 days are given by the algebraic expression $35h + 56$. This expression suggests that her pay comprises two components: a variable part ($35h$) and a fixed part (56). The variable part likely depends on the number of hours worked or a similar factor represented by $h$, while the fixed part could represent a consistent daily allowance or bonus.<\/p>\n\n\n\n<p><strong>Calculating Daily Earnings:<\/strong><\/p>\n\n\n\n<p>Since Harriet earns the same amount each day, we divide her total earnings by 7 to find her daily pay:<\/p>\n\n\n\n<p>$$<br>\\frac{35h + 56}{7}<br>$$<\/p>\n\n\n\n<p>Using the distributive property of division over addition, we split the expression:<\/p>\n\n\n\n<p>$$<br>\\frac{35h}{7} + \\frac{56}{7}<br>$$<\/p>\n\n\n\n<p>Simplifying each term:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$\\frac{35h}{7} = 5h$<\/li>\n\n\n\n<li>$\\frac{56}{7} = 8$<\/li>\n<\/ul>\n\n\n\n<p>Combining these results gives:<\/p>\n\n\n\n<p>$$<br>5h + 8<br>$$<\/p>\n\n\n\n<p><strong>Interpretation:<\/strong><\/p>\n\n\n\n<p>The simplified expression $5h + 8$ indicates that Harriet&#8217;s daily gross pay consists of a variable component ($5h$) and a fixed component (8). This structure is common in compensation models where employees receive a base pay plus additional earnings based on performance metrics like hours worked or units produced.<\/p>\n\n\n\n<p><strong>Conclusion:<\/strong><\/p>\n\n\n\n<p>By dividing the total earnings expression $35h + 56$ by 7, we determine that Harriet&#8217;s daily gross pay is represented by the expression $5h + 8$.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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 determine Harriet&#8217;s daily gross pay, we start with the information that her total gross pay over 7 workdays [&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-211628","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211628","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=211628"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211628\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=211628"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=211628"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=211628"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}