{"id":234108,"date":"2025-06-13T18:17:18","date_gmt":"2025-06-13T18:17:18","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=234108"},"modified":"2025-06-13T18:17:20","modified_gmt":"2025-06-13T18:17:20","slug":"a-car-drove-148-miles-using-4-gallons-of-gasoline","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/13\/a-car-drove-148-miles-using-4-gallons-of-gasoline\/","title":{"rendered":"A car drove 148 miles using 4 gallons of gasoline."},"content":{"rendered":"\n<p>A car drove 148 miles using 4 gallons of gasoline. How many gallons will it take to drive 9 1\/4 miles?<\/p>\n\n\n\n<p><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>To find how many gallons of gasoline it will take to drive 9\u00bc miles, use the concept of <strong>unit rate<\/strong> or <strong>proportional reasoning<\/strong>. First, determine the rate of gasoline consumption in miles per gallon, then use this rate to find how many gallons are needed for a smaller distance.<\/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: Find the miles per gallon rate<\/h3>\n\n\n\n<p>The car drove 148 miles using 4 gallons.<\/p>\n\n\n\n<p>To find miles per gallon: 148&nbsp;miles4&nbsp;gallons=37&nbsp;miles&nbsp;per&nbsp;gallon\\frac{148 \\text{ miles}}{4 \\text{ gallons}} = 37 \\text{ miles per gallon}4&nbsp;gallons148&nbsp;miles\u200b=37&nbsp;miles&nbsp;per&nbsp;gallon<\/p>\n\n\n\n<p>This means the car drives 37 miles on one gallon of gasoline.<\/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: Convert 9\u00bc miles to an improper fraction<\/h3>\n\n\n\n<p>914=374&nbsp;miles9\\frac{1}{4} = \\frac{37}{4} \\text{ miles}941\u200b=437\u200b&nbsp;miles<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Use the rate to find gallons needed<\/h3>\n\n\n\n<p>To find how many gallons are needed to drive 374\\frac{37}{4}437\u200b miles, divide the number of miles by the miles per gallon: 37437=374\u00d7137=14&nbsp;gallons\\frac{\\frac{37}{4}}{37} = \\frac{37}{4} \\times \\frac{1}{37} = \\frac{1}{4} \\text{ gallons}37437\u200b\u200b=437\u200b\u00d7371\u200b=41\u200b&nbsp;gallons<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Final Answer:<\/h3>\n\n\n\n<p>14&nbsp;gallon&nbsp;or&nbsp;0.25&nbsp;gallon\\boxed{\\frac{1}{4} \\text{ gallon or 0.25 gallon}}41\u200b&nbsp;gallon&nbsp;or&nbsp;0.25&nbsp;gallon\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation :<\/h3>\n\n\n\n<p>When solving real-life problems involving fuel usage, understanding the relationship between distance traveled and the amount of fuel consumed is essential. This type of problem relies on <strong>proportional reasoning<\/strong>. If a car uses a fixed amount of fuel to travel a certain distance, then for any other distance, the fuel used will be in direct proportion.<\/p>\n\n\n\n<p>In this problem, the car drives 148 miles using 4 gallons of gasoline. To determine the fuel efficiency, divide the distance by the gallons used: 148&nbsp;miles4&nbsp;gallons=37&nbsp;miles&nbsp;per&nbsp;gallon\\frac{148 \\text{ miles}}{4 \\text{ gallons}} = 37 \\text{ miles per gallon}4&nbsp;gallons148&nbsp;miles\u200b=37&nbsp;miles&nbsp;per&nbsp;gallon<\/p>\n\n\n\n<p>This tells us that each gallon of gasoline allows the car to travel 37 miles. Now, to determine how much gasoline the car needs to travel 9\u00bc miles, express 9\u00bc as an improper fraction: 914=3749\\frac{1}{4} = \\frac{37}{4}941\u200b=437\u200b. To find the number of gallons required, divide the miles to be traveled by the miles the car can go per gallon: 37437=14&nbsp;gallon\\frac{\\frac{37}{4}}{37} = \\frac{1}{4} \\text{ gallon}37437\u200b\u200b=41\u200b&nbsp;gallon<\/p>\n\n\n\n<p>This means that to travel 9\u00bc miles, the car will use only one-quarter of a gallon. This approach ensures accuracy by using consistent units and mathematical operations. Understanding this method helps in many situations, like estimating fuel costs, planning trips, or analyzing vehicle efficiency.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-469.jpeg\" alt=\"\" class=\"wp-image-234109\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A car drove 148 miles using 4 gallons of gasoline. How many gallons will it take to drive 9 1\/4 miles? The Correct Answer and Explanation is: To find how many gallons of gasoline it will take to drive 9\u00bc miles, use the concept of unit rate or proportional reasoning. First, determine the rate of [&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-234108","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234108","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=234108"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234108\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=234108"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=234108"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=234108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}