{"id":240905,"date":"2025-07-03T13:20:29","date_gmt":"2025-07-03T13:20:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=240905"},"modified":"2025-07-03T13:20:30","modified_gmt":"2025-07-03T13:20:30","slug":"russ-and-david-have-a-dump-truck-full-of-mulch-to-spread-in-the-yard","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/03\/russ-and-david-have-a-dump-truck-full-of-mulch-to-spread-in-the-yard\/","title":{"rendered":"Russ and David have a dump truck full of mulch to spread in the yard"},"content":{"rendered":"\n
Russ and David have a dump truck full of mulch to spread in the yard. By lunchtime, Russ has spread 3\/5 mulch, and David has spread 1\/3 mulch. How much more mulch do the boys have to spread?<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
To find how much more mulch Russ and David need to spread, we first need to calculate how much mulch they have already spread and subtract that from the total amount.<\/p>\n\n\n\n
Let\u2019s assume that the truck originally contained 1 full load of mulch.<\/p>\n\n\n\n
Step 1: Calculate the total amount of mulch spread<\/h3>\n\n\n\n
\n
Russ<\/strong> has spread 3\/5 of the mulch.<\/li>\n\n\n\n
David<\/strong> has spread 1\/3 of the mulch.<\/li>\n<\/ul>\n\n\n\n
To add these fractions, we need a common denominator. The denominators are 5 and 3, and the least common denominator (LCD) between 5 and 3 is 15.<\/p>\n\n\n\n
\n
Convert 3\/5 to have a denominator of 15: 35=3\u00d735\u00d73=915\\frac{3}{5} = \\frac{3 \\times 3}{5 \\times 3} = \\frac{9}{15}53\u200b=5\u00d733\u00d73\u200b=159\u200b<\/li>\n\n\n\n
Convert 1\/3 to have a denominator of 15: 13=1\u00d753\u00d75=515\\frac{1}{3} = \\frac{1 \\times 5}{3 \\times 5} = \\frac{5}{15}31\u200b=3\u00d751\u00d75\u200b=155\u200b<\/li>\n<\/ul>\n\n\n\n
Now we can add the fractions:915+515=1415\\frac{9}{15} + \\frac{5}{15} = \\frac{14}{15}159\u200b+155\u200b=1514\u200b<\/p>\n\n\n\n
This means that Russ and David together have spread 14\/15 of the mulch.<\/p>\n\n\n\n
Step 2: Calculate how much mulch is left<\/h3>\n\n\n\n
Since they started with a full load of mulch (1 whole), the amount left to spread is:1\u22121415=1515\u22121415=1151 – \\frac{14}{15} = \\frac{15}{15} – \\frac{14}{15} = \\frac{1}{15}1\u22121514\u200b=1515\u200b\u22121514\u200b=151\u200b<\/p>\n\n\n\n
Final Answer:<\/h3>\n\n\n\n
The boys have 1\/15<\/strong> of the mulch left to spread.<\/p>\n\n\n\n
In summary, after Russ and David have spread 14\/15 of the mulch, there is only 1\/15 remaining. They still have a small amount left to finish the job.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
Russ and David have a dump truck full of mulch to spread in the yard. By lunchtime, Russ has spread 3\/5 mulch, and David has spread 1\/3 mulch. How much more mulch do the boys have to spread? The Correct Answer and Explanation is: To find how much more mulch Russ and David need to […]<\/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-240905","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/240905","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=240905"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/240905\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=240905"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=240905"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=240905"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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