{"id":3923,"date":"2020-02-11T03:43:24","date_gmt":"2020-02-11T03:43:24","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/mathforlibscoreq\/?post_type=chapter&#038;p=3923"},"modified":"2021-02-05T23:57:02","modified_gmt":"2021-02-05T23:57:02","slug":"using-decimals-in-money-applications","status":"web-only","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/chapter\/using-decimals-in-money-applications\/","title":{"raw":"Using Decimals in Money Applications","rendered":"Using Decimals in Money Applications"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Translate expressions from a given scenario<\/li>\r\n \t<li>Answer a question by using operations on decimals<\/li>\r\n<\/ul>\r\n<\/div>\r\nWe often apply decimals in real life, and most of the applications involving money. The Strategy for Applications we used in The Language of Algebra gives us a plan to follow to help find the answer. Take a moment to review that strategy now.\r\n<div class=\"textbox shaded\">\r\n<h3>Strategy for Applications<\/h3>\r\n<ol id=\"fs-id1367462\">\r\n \t<li>Identify what you are asked to find.<\/li>\r\n \t<li>Write a phrase that gives the information to find it.<\/li>\r\n \t<li>Translate the phrase to an expression.<\/li>\r\n \t<li>Simplify the expression.<\/li>\r\n \t<li>Answer the question with a complete sentence.<\/li>\r\n<\/ol>\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nPaul received [latex]$50[\/latex] for his birthday. He spent [latex]$31.64[\/latex] on a video game. How much of Paul\u2019s birthday money was left?\r\n\r\nSolution\r\n<table id=\"eip-id1168468271103\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>What are you asked to find?<\/td>\r\n<td>How much did Paul have left?<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a phrase.<\/td>\r\n<td>[latex]$50[\/latex] less [latex]$31.64[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate.<\/td>\r\n<td>[latex]50 - 31.64[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]18.36[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a sentence.<\/td>\r\n<td>Paul has [latex]$18.36[\/latex] left.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146034[\/ohm_question]\r\n\r\n[ohm_question]146035[\/ohm_question]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nJessie put [latex]8[\/latex] gallons of gas in her car. One gallon of gas costs [latex]$3.529[\/latex]. How much does Jessie owe for the gas? (Round the answer to the nearest cent.)\r\n[reveal-answer q=\"455220\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"455220\"]\r\n\r\nSolution\r\n<table id=\"eip-id1168467168594\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>What are you asked to find?<\/td>\r\n<td>How much did Jessie owe for all the gas?<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a phrase.<\/td>\r\n<td>8 times the cost of one gallon of gas<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate.<\/td>\r\n<td>[latex]8\\left($3.529\\right)[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]$28.232[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Round to the nearest cent.<\/td>\r\n<td>[latex]$28.23[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a sentence.<\/td>\r\n<td>Jessie owes [latex]$28.23[\/latex] for her gas purchase.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146036[\/ohm_question]\r\n\r\n[ohm_question]146037[\/ohm_question]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nFour friends went out for dinner. They shared a large pizza and a pitcher of soda. The total cost of their dinner was [latex]$31.76[\/latex]. If they divide the cost equally, how much should each friend pay?\r\n[reveal-answer q=\"379988\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"379988\"]\r\n\r\nSolution\r\n<table id=\"eip-id1168468614036\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>What are you asked to find?<\/td>\r\n<td>How much should each friend pay?<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a phrase.<\/td>\r\n<td>[latex]$31.76[\/latex] divided equally among the four friends.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate to an expression.<\/td>\r\n<td>[latex]$31.76\\div 4[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]$7.94[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a sentence.<\/td>\r\n<td>Each friend should pay [latex]$7.94[\/latex] for his share of the dinner.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146039[\/ohm_question]\r\n\r\n[ohm_question]146040[\/ohm_question]\r\n\r\n<\/div>\r\nBe careful to follow the order of operations in the next example. Remember to multiply before you add.\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nMarla buys [latex]6[\/latex] bananas that cost [latex]$0.22[\/latex] each and [latex]4[\/latex] oranges that cost [latex]$0.49[\/latex] each. How much is the total cost of the fruit?\r\n[reveal-answer q=\"97115\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"97115\"]\r\n\r\nSolution\r\n<table id=\"eip-id1168468746153\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>What are you asked to find?<\/td>\r\n<td>How much is the total cost of the fruit?<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a phrase.<\/td>\r\n<td>[latex]6[\/latex] times the cost of each banana plus [latex]4[\/latex] times the cost of each orange<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate to an expression.<\/td>\r\n<td>[latex]6\\left($0.22\\right)+4\\left($0.49\\right)[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]$1.32+$1.96[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Add.<\/td>\r\n<td>[latex]$3.28[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a sentence.<\/td>\r\n<td>Marla's total cost for the fruit is [latex]$3.28[\/latex].<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146047[\/ohm_question]\r\n\r\n[ohm_question]146048[\/ohm_question]\r\n\r\n<\/div>","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Translate expressions from a given scenario<\/li>\n<li>Answer a question by using operations on decimals<\/li>\n<\/ul>\n<\/div>\n<p>We often apply decimals in real life, and most of the applications involving money. The Strategy for Applications we used in The Language of Algebra gives us a plan to follow to help find the answer. Take a moment to review that strategy now.<\/p>\n<div class=\"textbox shaded\">\n<h3>Strategy for Applications<\/h3>\n<ol id=\"fs-id1367462\">\n<li>Identify what you are asked to find.<\/li>\n<li>Write a phrase that gives the information to find it.<\/li>\n<li>Translate the phrase to an expression.<\/li>\n<li>Simplify the expression.<\/li>\n<li>Answer the question with a complete sentence.<\/li>\n<\/ol>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Paul received [latex]$50[\/latex] for his birthday. He spent [latex]$31.64[\/latex] on a video game. How much of Paul\u2019s birthday money was left?<\/p>\n<p>Solution<\/p>\n<table id=\"eip-id1168468271103\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>How much did Paul have left?<\/td>\n<\/tr>\n<tr>\n<td>Write a phrase.<\/td>\n<td>[latex]$50[\/latex] less [latex]$31.64[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Translate.<\/td>\n<td>[latex]50 - 31.64[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]18.36[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence.<\/td>\n<td>Paul has [latex]$18.36[\/latex] left.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146034\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146034&theme=oea&iframe_resize_id=ohm146034&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146035\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146035&theme=oea&iframe_resize_id=ohm146035&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Jessie put [latex]8[\/latex] gallons of gas in her car. One gallon of gas costs [latex]$3.529[\/latex]. How much does Jessie owe for the gas? (Round the answer to the nearest cent.)<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q455220\">Show Solution<\/span><\/p>\n<div id=\"q455220\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168467168594\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>How much did Jessie owe for all the gas?<\/td>\n<\/tr>\n<tr>\n<td>Write a phrase.<\/td>\n<td>8 times the cost of one gallon of gas<\/td>\n<\/tr>\n<tr>\n<td>Translate.<\/td>\n<td>[latex]8\\left($3.529\\right)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]$28.232[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Round to the nearest cent.<\/td>\n<td>[latex]$28.23[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence.<\/td>\n<td>Jessie owes [latex]$28.23[\/latex] for her gas purchase.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146036\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146036&theme=oea&iframe_resize_id=ohm146036&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146037\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146037&theme=oea&iframe_resize_id=ohm146037&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Four friends went out for dinner. They shared a large pizza and a pitcher of soda. The total cost of their dinner was [latex]$31.76[\/latex]. If they divide the cost equally, how much should each friend pay?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q379988\">Show Solution<\/span><\/p>\n<div id=\"q379988\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168468614036\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>How much should each friend pay?<\/td>\n<\/tr>\n<tr>\n<td>Write a phrase.<\/td>\n<td>[latex]$31.76[\/latex] divided equally among the four friends.<\/td>\n<\/tr>\n<tr>\n<td>Translate to an expression.<\/td>\n<td>[latex]$31.76\\div 4[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]$7.94[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence.<\/td>\n<td>Each friend should pay [latex]$7.94[\/latex] for his share of the dinner.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146039\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146039&theme=oea&iframe_resize_id=ohm146039&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146040\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146040&theme=oea&iframe_resize_id=ohm146040&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>Be careful to follow the order of operations in the next example. Remember to multiply before you add.<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Marla buys [latex]6[\/latex] bananas that cost [latex]$0.22[\/latex] each and [latex]4[\/latex] oranges that cost [latex]$0.49[\/latex] each. How much is the total cost of the fruit?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q97115\">Show Solution<\/span><\/p>\n<div id=\"q97115\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168468746153\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>How much is the total cost of the fruit?<\/td>\n<\/tr>\n<tr>\n<td>Write a phrase.<\/td>\n<td>[latex]6[\/latex] times the cost of each banana plus [latex]4[\/latex] times the cost of each orange<\/td>\n<\/tr>\n<tr>\n<td>Translate to an expression.<\/td>\n<td>[latex]6\\left($0.22\\right)+4\\left($0.49\\right)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]$1.32+$1.96[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Add.<\/td>\n<td>[latex]$3.28[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence.<\/td>\n<td>Marla&#8217;s total cost for the fruit is [latex]$3.28[\/latex].<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146047\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146047&theme=oea&iframe_resize_id=ohm146047&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146048\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146048&theme=oea&iframe_resize_id=ohm146048&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-3923\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Question ID: 146034, 146035, 146036, 146037, 146039, 146040, 146047, 146048. <strong>Authored by<\/strong>: Alyson Day. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License CC-BY + GPL<\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":25777,"menu_order":10,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"original\",\"description\":\"Question ID: 146034, 146035, 146036, 146037, 146039, 146040, 146047, 146048\",\"author\":\"Alyson Day\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"IMathAS Community License CC-BY + 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