To rent a building for a school dance, Ava paid 120plus 2.50 for each student who attended. If she paid a total of $325, how many students attended the dance?<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To find out how many students attended the dance, we can set up an equation based on the information given. Ava paid a flat fee of $120 for renting the building and an additional $2.50 for each student who attended. The total cost she incurred was $325.<\/p>\n\n\n\n Let ( x ) represent the number of students who attended the dance. The total amount Ava paid can be expressed with the following equation:<\/p>\n\n\n\n [ Plugging in the values from the problem, we have:<\/p>\n\n\n\n [ To isolate ( x ), first subtract the flat fee of $120 from both sides of the equation:<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ Next, divide both sides of the equation by $2.50 to solve for ( x ):<\/p>\n\n\n\n [ Calculating this gives:<\/p>\n\n\n\n [ Ava had 82 students<\/strong> attend the dance.<\/p>\n\n\n\n In this scenario, we started with the total cost of the event, which includes both a fixed rental fee and a variable cost based on attendance. The approach to solving the problem involved breaking down the total payment into its components: the fixed cost and the cost per attendee. By creating an algebraic equation and performing basic arithmetic operations (subtraction and division), we were able to isolate the variable ( x ), which represented the number of students.<\/p>\n\n\n\n This method can be applied to various real-world situations where costs are structured with both fixed and variable components. Understanding how to set up and solve equations is a vital skill, particularly in budgeting and planning events.<\/p>\n","protected":false},"excerpt":{"rendered":" To rent a building for a school dance, Ava paid 120plus 2.50 for each student who attended. If she paid a total of $325, how many students attended the dance? The Correct Answer and Explanation is : To find out how many students attended the dance, we can set up an equation based on 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-159844","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/159844","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=159844"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/159844\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=159844"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=159844"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=159844"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Set Up the Equation<\/h3>\n\n\n\n
\\text{Total Cost} = \\text{Flat Fee} + (\\text{Cost per Student} \\times \\text{Number of Students})
]<\/p>\n\n\n\n
325 = 120 + 2.50x
]<\/p>\n\n\n\nStep 2: Solve for ( x )<\/h3>\n\n\n\n
325 – 120 = 2.50x
]<\/p>\n\n\n\n
205 = 2.50x
]<\/p>\n\n\n\n
x = \\frac{205}{2.50}
]<\/p>\n\n\n\n
x = 82
]<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n
Explanation<\/h3>\n\n\n\n