{"id":206890,"date":"2025-04-17T07:12:11","date_gmt":"2025-04-17T07:12:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=206890"},"modified":"2025-04-17T07:12:13","modified_gmt":"2025-04-17T07:12:13","slug":"harriet-earns-the-same-amount-of-money-each-day","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/17\/harriet-earns-the-same-amount-of-money-each-day\/","title":{"rendered":"Harriet earns the same amount of money each day"},"content":{"rendered":"\n

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

The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n

To find Harriet’s gross pay each day<\/strong>, we need to divide her total pay over 7 days<\/strong> by the number of days she worked.<\/p>\n\n\n\n

\n\n\n\n

Given:<\/strong><\/h3>\n\n\n\n

Her gross pay at the end of 7 workdays = 35h + 56<\/strong>
She earns the same amount each day<\/strong>
Number of days worked = 7<\/strong><\/p>\n\n\n\n

\n\n\n\n

To Find:<\/strong><\/h3>\n\n\n\n

Her daily gross pay<\/strong><\/p>\n\n\n\n

\n\n\n\n

Solution:<\/strong><\/h3>\n\n\n\n

To find the pay per day, divide the total pay by 7:<\/p>\n\n\n\n

[
\\text{Daily pay} = \\frac{35h + 56}{7}
]<\/p>\n\n\n\n

We can simplify this expression:<\/p>\n\n\n\n

[
\\frac{35h + 56}{7} = \\frac{35h}{7} + \\frac{56}{7} = 5h + 8
]<\/p>\n\n\n\n

\n\n\n\n

\u2705 Final Answer: (\\boxed{5h + 8})<\/strong><\/h3>\n\n\n\n
\n\n\n\n

\u270d\ufe0f Explanation (300 words):<\/strong><\/h3>\n\n\n\n

To determine how much Harriet earns each day, we use the concept of unit rate<\/strong>\u2014that is, the total amount divided by the number of units (in this case, days). The problem tells us that Harriet earns a total of 35h + 56 dollars<\/strong> after working for 7 days<\/strong>, and that she earns the same amount every day<\/strong>. That means the total pay is evenly distributed across all 7 days.<\/p>\n\n\n\n

To find out her daily earnings, we divide the total expression<\/strong> by 7. Mathematically, this looks like:<\/p>\n\n\n\n

[
\\frac{35h + 56}{7}
]<\/p>\n\n\n\n

This is a typical algebraic division<\/strong> problem. The key step here is to apply the distributive property<\/strong> of division over addition, which allows us to divide each term in the numerator separately by the denominator. That gives:<\/p>\n\n\n\n

[
\\frac{35h}{7} + \\frac{56}{7}
]<\/p>\n\n\n\n

Next, simplify each term:<\/p>\n\n\n\n

    \n
  • ( \\frac{35h}{7} = 5h )<\/li>\n\n\n\n
  • ( \\frac{56}{7} = 8 )<\/li>\n<\/ul>\n\n\n\n

    So, Harriet earns 5h + 8 dollars per day<\/strong>.<\/p>\n\n\n\n

    This expression tells us that her daily income depends on h<\/strong>, where h<\/strong> could represent hours worked, an hourly rate, or another variable factor. The constant 8<\/strong> represents a fixed amount she earns daily in addition to the variable part.<\/p>\n\n\n\n

    This method helps us break down a real-world situation using algebra, and shows how expressions can model consistent patterns like daily earnings.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    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’s gross pay each day, we need to divide her total pay over 7 days by the […]<\/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-206890","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/206890","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=206890"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/206890\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=206890"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=206890"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=206890"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}