Ramon ate at a restaurant and gave the server a $4 tip. The tip was 20% of the cost of the meal. How much was the meal?<\/p>\n\n\n\n
A. $16<\/p>\n\n\n\n
B. $20<\/p>\n\n\n\n
C. $8<\/p>\n\n\n\n
D. $24<\/p>\n\n\n\n
Evaluate. 5:7! 6!4! Simplify your answer as much as possible.<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n Let\u2019s address both parts of your question in detail:<\/p>\n\n\n\n Question:<\/strong> Choices:<\/strong> The tip is a percentage of the meal cost. That means: Tip=20% of the meal cost\\text{Tip} = 20\\% \\text{ of the meal cost}<\/p>\n\n\n\n Let the meal cost be x<\/strong> dollars. To find x<\/strong>, divide both sides by 0.20: x=40.20=415=4\u00d75=20x = \\frac{4}{0.20} = \\frac{4}{\\frac{1}{5}} = 4 \\times 5 = 20<\/p>\n\n\n\n To solve problems involving percentages, it’s helpful to convert the percentage into a decimal. Since 20% means 20 out of 100, it converts to a decimal as 0.20<\/strong>. The problem tells us that the tip of $4 is 20% of the meal cost, not 20% of the total amount spent (which would include the tip). This is an important distinction \u2014 sometimes questions test your understanding of \u201cpercent of<\/em> what?\u201d<\/p>\n\n\n\n The equation 0.20x = 4<\/strong> reflects that 20% of the unknown meal cost x<\/strong> equals $4. Solving for x<\/strong> gives us the meal cost. Once we divide, we find that the original meal cost must have been $20<\/strong>, since 20% of 20 is exactly 4.<\/p>\n\n\n\n You can double-check: 0.20\u00d720=4\u2714\u00ae0.20 \\times 20 = 4 \\quad \\text{\u2714\ufe0f}<\/p>\n\n\n\n Understanding percent problems is essential for everyday scenarios like tipping, calculating discounts, or figuring out interest. These problems often appear in standardized tests and real-world decision-making, so being comfortable with translating words into mathematical equations is key.<\/p>\n\n\n\n 5\u22c57!6!\u22c54!\\frac{5 \\cdot 7!}{6! \\cdot 4!}<\/p>\n\n\n\n Recall:<\/p>\n\n\n\n Now substitute: 5\u22c57!6!\u22c54!=5\u22c5(7\u22c56!)6!\u22c54!\\frac{5 \\cdot 7!}{6! \\cdot 4!} = \\frac{5 \\cdot (7 \\cdot 6!)}{6! \\cdot 4!}<\/p>\n\n\n\n Cancel the 6!6!: =5\u22c574!=3524= \\frac{5 \\cdot 7}{4!} = \\frac{35}{24}<\/p>\n\n\n\n This fraction cannot be simplified further because 35 and 24 have no common factors other than 1.<\/p>\n\n\n\n Ramon ate at a restaurant and gave the server a $4 tip. The tip was 20% of the cost of the meal. How much was the meal? A. $16 B. $20 C. $8 D. $24 Evaluate. 5:7! 6!4! Simplify your answer as much as possible. The Correct Answer and Explanation is: Let\u2019s address both parts […]<\/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-214970","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/214970","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=214970"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/214970\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=214970"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=214970"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=214970"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nPart 1: Tip Problem<\/strong><\/h3>\n\n\n\n
Ramon gave a $4 tip, which was 20% of the cost of the meal. What was the total cost of the meal?<\/p>\n\n\n\n
A. $16
B. $20
C. $8
D. $24<\/p>\n\n\n\n
\n\n\n\nStep-by-Step Explanation:<\/strong><\/h4>\n\n\n\n
Then, 0.20x=40.20x = 4<\/p>\n\n\n\n\u2705 Correct Answer: B. $20<\/strong><\/h3>\n\n\n\n
\n\n\n\nFurther Explanation (300+ words):<\/strong><\/h4>\n\n\n\n
\n\n\n\nPart 2: Simplify the Expression<\/strong><\/h3>\n\n\n\n
\n\n\n\nStep-by-Step Solution:<\/strong><\/h4>\n\n\n\n
\n
\n\n\n\n\u2705 Final Simplified Answer: 3524\\frac{35}{24}<\/strong><\/h3>\n\n\n\n
\n","protected":false},"excerpt":{"rendered":"