{"id":135836,"date":"2024-09-08T23:06:07","date_gmt":"2024-09-08T23:06:07","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=135836"},"modified":"2024-09-08T23:06:09","modified_gmt":"2024-09-08T23:06:09","slug":"a-consumer-recently-purchased-a-new-car-and-paid-48000-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/08\/a-consumer-recently-purchased-a-new-car-and-paid-48000-2\/","title":{"rendered":"A consumer recently purchased a new car and paid $48,000"},"content":{"rendered":"\n

A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer\u2019s friend paid for their car. Which of the following is the amount that the friend paid for their car?<\/p>\n\n\n\n

A.
$23,000<\/p>\n\n\n\n

B.
$46,000<\/p>\n\n\n\n

C.
$25,000<\/p>\n\n\n\n

D.
$50,000<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To solve this problem, we need to set up an algebraic equation based on the information given and solve for the unknown value.<\/p>\n\n\n\n

Here’s a step-by-step explanation:<\/p>\n\n\n\n

    \n
  1. Define the Variables:<\/strong> Let xxx be the amount that the friend paid for their car.<\/li>\n\n\n\n
  2. Formulate the Relationship:<\/strong> According to the problem, the amount the consumer paid for the car is $48,000, which is $2,000 less than twice the amount the friend paid. We can express this relationship with the following equation:48000=2x\u2212200048000 = 2x – 200048000=2x\u22122000This equation states that $48,000 is equal to $2,000 less than twice the amount the friend paid.<\/li>\n\n\n\n
  3. Solve for xxx:<\/strong> To find xxx, we need to isolate it in the equation. Start by adding $2,000 to both sides of the equation:48000+2000=2×48000 + 2000 = 2×48000+2000=2x 50000=2×50000 = 2×50000=2xNext, divide both sides of the equation by 2:500002=x\\frac{50000}{2} = x250000\u200b=x 25000=x25000 = x25000=xTherefore, the friend paid $25,000 for their car.<\/li>\n\n\n\n
  4. Verify the Solution:<\/strong> To ensure our solution is correct, substitute x=25,000x = 25,000x=25,000 back into the original relationship to check if it holds true:Twice the amount the friend paid is 2\u00d725000=500002 \\times 25000 = 500002\u00d725000=50000. According to the problem, the consumer paid $48,000, which is $2,000 less than this amount:50000\u22122000=4800050000 – 2000 = 4800050000\u22122000=48000This confirms that the calculated value is correct.<\/li>\n<\/ol>\n\n\n\n

    So, the amount that the friend paid for their car is 25000\\boxed{25000}25000\u200b.<\/p>\n","protected":false},"excerpt":{"rendered":"

    A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer\u2019s friend paid for their car. Which of the following is the amount that the friend paid for their car? A.$23,000 B.$46,000 C.$25,000 D.$50,000 The Correct Answer and Explanation is: To solve this problem, we need […]<\/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-135836","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/135836","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=135836"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/135836\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=135836"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=135836"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=135836"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}