60% of a bank account is $2,400. Find the full amount in the account.<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To find the full amount in the account when 60% of it equals $2,400, we need to determine the total value of the account. Let’s break this down step by step:<\/p>\n\n\n\n We are told that 60% of the total bank account amount equals $2,400. This means that 60% of the total amount (which we will call “X”) is $2,400. Mathematically, this relationship can be written as:<\/p>\n\n\n\n [ To work with percentages in equations, we convert 60% into decimal form. To do this, divide 60 by 100:<\/p>\n\n\n\n [ So the equation becomes:<\/p>\n\n\n\n [ Now, to find the full amount (X), we need to isolate X. To do that, divide both sides of the equation by 0.60:<\/p>\n\n\n\n [ Performing the division:<\/p>\n\n\n\n [ The full amount in the bank account is $4,000<\/strong>.<\/p>\n\n\n\n This problem is an example of how to find the total value when given a percentage of that value. The key idea is recognizing that 60% of the total account value equals $2,400. By using algebra to set up an equation and then solving for the unknown (the total amount), we can determine the full value. The percentage form of 60% is 0.60, which we use in the equation (0.60 \\times X = 2400). Dividing both sides by 0.60 allows us to isolate X and find that the total amount in the bank account is $4,000.<\/p>\n","protected":false},"excerpt":{"rendered":" 60% of a bank account is $2,400. Find the full amount in the account. The Correct Answer and Explanation is: To find the full amount in the account when 60% of it equals $2,400, we need to determine the total value of the account. Let’s break this down step by step: Step 1: Understand 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-165219","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165219","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=165219"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165219\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=165219"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=165219"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=165219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Understand the problem<\/h3>\n\n\n\n
60\\% \\times X = 2400
]<\/p>\n\n\n\nStep 2: Convert percentage to decimal form<\/h3>\n\n\n\n
60\\% = \\frac{60}{100} = 0.60
]<\/p>\n\n\n\n
0.60 \\times X = 2400
]<\/p>\n\n\n\nStep 3: Solve for X<\/h3>\n\n\n\n
X = \\frac{2400}{0.60}
]<\/p>\n\n\n\nStep 4: Perform the division<\/h3>\n\n\n\n
X = \\frac{2400}{0.60} = 4000
]<\/p>\n\n\n\nStep 5: Conclusion<\/h3>\n\n\n\n
Explanation<\/h3>\n\n\n\n