{"id":210550,"date":"2025-04-30T12:29:34","date_gmt":"2025-04-30T12:29:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=210550"},"modified":"2025-04-30T12:29:36","modified_gmt":"2025-04-30T12:29:36","slug":"harriet-earns-the-same-amount-of-money-each-day-7","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/30\/harriet-earns-the-same-amount-of-money-each-day-7\/","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\">To find Harriet\u2019s <strong>gross pay each day<\/strong>, we are given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Her <strong>total gross pay for 7 workdays<\/strong> is: 35h+56&nbsp;dollars35h + 56 \\text{ dollars}35h+56&nbsp;dollars<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">We need to find how much she earns <strong>each day<\/strong>, assuming it is the <strong>same amount daily<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Divide Total Gross Pay by Number of Days<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Since Harriet works <strong>7 days<\/strong>, and earns the <strong>same amount each day<\/strong>, we divide her total pay by 7: 35h+567\\frac{35h + 56}{7}735h+56\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Simplify the Expression<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Now simplify the expression:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Break the numerator into two terms: 35h7+567\\frac{35h}{7} + \\frac{56}{7}735h\u200b+756\u200b =5h+8= 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 Correct Answer:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">5h+8\\boxed{5h + 8}5h+8\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcd8 Explanation (300+ words):<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In algebra, when an expression like <strong>35h + 56<\/strong> represents a total over multiple parts (in this case, 7 days), you can find the <strong>value for one part<\/strong> (each day) by dividing the total by the number of parts (7).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Harriet\u2019s <strong>gross pay<\/strong> after 7 days is <strong>35h + 56<\/strong>, where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>35h<\/strong> likely represents an hourly wage or a variable based on time or hours.<\/li>\n\n\n\n<li><strong>56<\/strong> is likely a fixed component, such as a bonus or base pay.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">To find her <strong>daily pay<\/strong>, we divide this entire expression by 7. This is known as applying the <strong>distributive property of division over addition<\/strong>: a+bc=ac+bc\\frac{a + b}{c} = \\frac{a}{c} + \\frac{b}{c}ca+b\u200b=ca\u200b+cb\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, we divide:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>35h \u00f7 7 = 5h<\/strong>, and<\/li>\n\n\n\n<li><strong>56 \u00f7 7 = 8<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Adding those gives us <strong>5h + 8<\/strong>, which means Harriet earns a <strong>variable component of 5h<\/strong> and a <strong>fixed component of 8 dollars<\/strong> each day.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This expression tells us that Harriet\u2019s daily earnings are influenced by a changing factor (like hours worked, represented by <em>h<\/em>), and a consistent amount (perhaps a daily allowance or bonus), represented by <strong>8 dollars<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This approach demonstrates how <strong>expressions in algebra can model real-world earnings<\/strong> and how division helps break down totals into per-unit amounts\u2014an important skill in both math and financial literacy<\/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 given: We need to find how much she earns each day, [&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-210550","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/210550","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=210550"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/210550\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=210550"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=210550"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=210550"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}