{"id":4472,"date":"2020-04-13T14:19:43","date_gmt":"2020-04-13T14:19:43","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/mathforlibscoreq\/?post_type=chapter&#038;p=4472"},"modified":"2020-04-13T14:19:44","modified_gmt":"2020-04-13T14:19:44","slug":"solving-applications-with-percent","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/chapter\/solving-applications-with-percent\/","title":{"raw":"Solving Applications With Percent","rendered":"Solving Applications With Percent"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Calculate the tip for a meal given a percent<\/li>\r\n \t<li>Find total recommended amount of fiber and sodium given percent and amount<\/li>\r\n \t<li>Calculate percent calories from fat given total calories and calories from fat<\/li>\r\n<\/ul>\r\n<\/div>\r\n<p>Many applications of percent occur in our daily lives, such as tips, sales tax, discount, and interest. To solve these applications we'll translate to a basic percent equation, just like those we solved in the previous examples in this section. Once you translate the sentence into a percent equation, you know how to solve it.<\/p>\r\n<p>We will update the strategy we used in our earlier applications to include equations now. Notice that we will translate a sentence into an equation.<\/p>\r\n\r\n<div class=\"textbox shaded\">\r\n<h3>Solve an application<\/h3>\r\n<ol id=\"eip-id1168467261262\" class=\"stepwise\">\r\n \t<li>Identify what you are asked to find and choose a variable to represent it.<\/li>\r\n \t<li>Write a sentence that gives the information to find it.<\/li>\r\n \t<li>Translate the sentence into an equation.<\/li>\r\n \t<li>Solve the equation using good algebra techniques.<\/li>\r\n \t<li>Check the answer in the problem and make sure it makes sense.<\/li>\r\n \t<li>Write a complete sentence that answers the question.<\/li>\r\n<\/ol>\r\n<\/div>\r\nNow that we have the strategy to refer to, and have practiced solving basic percent equations, we are ready to solve percent applications. Be sure to ask yourself if your final answer makes sense\u2014since many of the applications we'll solve involve everyday situations, you can rely on your own experience.\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nDezohn and his girlfriend enjoyed a dinner at a restaurant, and the bill was [latex]\\text{\\$68.50}[\/latex]. They want to leave an [latex]\\text{18%}[\/latex] tip. If the tip will be [latex]\\text{18%}[\/latex] of the total bill, how much should the tip be?\r\n\r\nSolution\r\n<table id=\"eip-id1168468710061\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question '144 is what percent of 96?' The first step is to translate the words into algebra, writing 144 as 144, representing the word 'is' with an equals sign, letting the variable p be equal to the percent, representing the word 'of' with a multiplication dot, and writing 96 as 96. The result is the equation 144 = p \u00b7 96. The second step is to divide both sides of the equation by 96. The third step is to simplify. The result is 1.5 = p. The fourth step is to convert the decimal to a percent. 150% = p. 144 is 150% of 96.\">\r\n<tbody>\r\n<tr>\r\n<td>What are you asked to find?<\/td>\r\n<td>the amount of the tip<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Choose a variable to represent it.<\/td>\r\n<td>Let [latex]t=[\/latex] amount of tip.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a sentence that give the information to find it.<\/td>\r\n<td>The tip is 18% of the total bill.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate the sentence into an equation.<\/td>\r\n<td><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221939\/CNX_BMath_Figure_06_02_009_img-01.png\" alt=\".\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td>[latex]t=12.33[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check. Is this answer reasonable?<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>If we approximate the bill to [latex]\\text{\\$70}[\/latex] and the percent to [latex]20\\text{%}[\/latex], we would have a tip of [latex]\\text{\\$14}[\/latex].\r\n\r\nSo a tip of [latex]\\text{\\$12.33}[\/latex] seems reasonable.<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a complete sentence that answers the question.<\/td>\r\n<td>The couple should leave a tip of [latex]\\text{\\$12.33}[\/latex].<\/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]146694[\/ohm_question]\r\n\r\n<\/div>\r\nIn the next video we show another example of finding how much tip to give based on percent.\r\n\r\nhttps:\/\/youtu.be\/yFaa2CMx9rk\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nThe label on Masao's breakfast cereal said that one serving of cereal provides [latex]85[\/latex] milligrams (mg) of potassium, which is [latex]\\text{2%}[\/latex] of the recommended daily amount. What is the total recommended daily amount of potassium?\r\n\r\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221942\/CNX_BMath_Figure_06_02_002.png\" alt=\"The figures shows the nutrition facts for cereal.\" \/>\r\n[reveal-answer q=\"744443\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"744443\"]\r\n\r\nSolution\r\n<table id=\"eip-id1168468583805\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to solve the percent problem. Determine what you are asked to find. That is the total amount of potassium recommended. Choose a variable to represent the total amount of potassium. Let the variable a be equal to the total amount of potassium. Write a sentence that gives the information to find the total amount of the potassium. That sentence is '85 milligrams is 2% of the total amount.' Translate the sentence into an equation, writing 85 milligrams as 85, representing the word 'is' with an equals sign, writing 2% as 0.02, representing the word 'of' with a multiplication dot, and writing a as a. The result is the equation 85 = 0.02 \u00b7 a. Divide both sides of the equation by 0.02. Simplify. The result is the equation 4,250 = a. Write a complete sentence that answers the question. The sentence is 'The amount of potassium that is recommended is 4,250 milligrams. Check the reasonableness of the answer. It is reasonable because 2% is a small percent and 85 is a small part of 4,250.\">\r\n<tbody>\r\n<tr>\r\n<td>What are you asked to find?<\/td>\r\n<td>the total amount of potassium recommended<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Choose a variable to represent it.<\/td>\r\n<td>Let [latex]a=[\/latex] total amount of potassium.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a sentence that gives the information to find it.<\/td>\r\n<td>[latex]85[\/latex] mg is [latex]2\\text{%}[\/latex] of the total amount.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate the sentence into an equation.<\/td>\r\n<td><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221944\/CNX_BMath_Figure_06_02_010_img-01.png\" alt=\".\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Divide both sides by [latex]0.02[\/latex].<\/td>\r\n<td>[latex]{\\Large\\frac{85}{0.02}}={\\Large\\frac{0.02a}{0.02}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]4,250=a[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check: Is this answer reasonable?<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Yes. [latex]2\\text{%}[\/latex] is a small percent and [latex]85[\/latex] is a small part of [latex]4,250[\/latex].<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a complete sentence that answers the question.<\/td>\r\n<td>The amount of potassium that is recommended is [latex]4250[\/latex] mg.<\/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]146697[\/ohm_question]\r\n\r\n[ohm_question]146702[\/ohm_question]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nMitzi received some gourmet brownies as a gift. The wrapper said each brownie was [latex]480[\/latex] calories, and had [latex]240[\/latex] calories of fat. What percent of the total calories in each brownie comes from fat?\r\n[reveal-answer q=\"188177\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"188177\"]\r\n\r\nSolution\r\n<table id=\"eip-id1168466156738\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to solve the percent problem. Determine what you are asked to find. That is the percent of the total calories from fat. Choose a variable to represent the percent of the total calories from fat. Let the variable p be equal to percent from fat. Write a sentence that gives the information to find the percent of the total calories from fat. That sentence is 'What percent of 480 is 240?' Translate the sentence into an equation, writing letting the percent be equal to p, representing the word 'of' with a multiplication dot, writing 480 as 480, representing the word 'is' with an equals sign, and writing 240 as 240. The result is the equation p \u00b7 480 = 240. Divide both sides of the equation by 480. Simplify. The result is p = 0.5. Convert the decimal to percent form. The result is p = 50%. Write a complete sentence that answers the question. The sentence is 'Of the total calories in each brownie, 50% is fat. Check the reasonableness of the answer. 240 is half of 480, so 50% makes sense.\">\r\n<tbody>\r\n<tr>\r\n<td>What are you asked to find?<\/td>\r\n<td>the percent of the total calories from fat<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Choose a variable to represent it.<\/td>\r\n<td>Let [latex]p=[\/latex] percent from fat.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a sentence that gives the information to find it.<\/td>\r\n<td>What percent of [latex]480[\/latex] is [latex]240[\/latex]?<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate the sentence into an equation.<\/td>\r\n<td><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221949\/CNX_BMath_Figure_06_02_011_img-01.png\" alt=\".\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Divide both sides by [latex]480[\/latex].<\/td>\r\n<td>[latex]{\\Large\\frac{{p}\\cdot{480}}{480}}={\\Large\\frac{240}{480}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]p=0.5[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Convert to percent form.<\/td>\r\n<td>[latex]p=\\text{50%}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check. Is this answer reasonable?<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Yes. [latex]240[\/latex] is half of [latex]480[\/latex], so [latex]50\\text{%}[\/latex] makes sense.<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write a complete sentence that answers the question.<\/td>\r\n<td>Of the total calories in each brownie, [latex]50\\text{%}[\/latex] is fat.<\/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]146703[\/ohm_question]\r\n\r\n<\/div>\r\nThe following video show another example of how to solve an application that involves percent.\r\n\r\nhttps:\/\/youtu.be\/mRekG7LsUys","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Calculate the tip for a meal given a percent<\/li>\n<li>Find total recommended amount of fiber and sodium given percent and amount<\/li>\n<li>Calculate percent calories from fat given total calories and calories from fat<\/li>\n<\/ul>\n<\/div>\n<p>Many applications of percent occur in our daily lives, such as tips, sales tax, discount, and interest. To solve these applications we&#8217;ll translate to a basic percent equation, just like those we solved in the previous examples in this section. Once you translate the sentence into a percent equation, you know how to solve it.<\/p>\n<p>We will update the strategy we used in our earlier applications to include equations now. Notice that we will translate a sentence into an equation.<\/p>\n<div class=\"textbox shaded\">\n<h3>Solve an application<\/h3>\n<ol id=\"eip-id1168467261262\" class=\"stepwise\">\n<li>Identify what you are asked to find and choose a variable to represent it.<\/li>\n<li>Write a sentence that gives the information to find it.<\/li>\n<li>Translate the sentence into an equation.<\/li>\n<li>Solve the equation using good algebra techniques.<\/li>\n<li>Check the answer in the problem and make sure it makes sense.<\/li>\n<li>Write a complete sentence that answers the question.<\/li>\n<\/ol>\n<\/div>\n<p>Now that we have the strategy to refer to, and have practiced solving basic percent equations, we are ready to solve percent applications. Be sure to ask yourself if your final answer makes sense\u2014since many of the applications we&#8217;ll solve involve everyday situations, you can rely on your own experience.<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Dezohn and his girlfriend enjoyed a dinner at a restaurant, and the bill was [latex]\\text{\\$68.50}[\/latex]. They want to leave an [latex]\\text{18%}[\/latex] tip. If the tip will be [latex]\\text{18%}[\/latex] of the total bill, how much should the tip be?<\/p>\n<p>Solution<\/p>\n<table id=\"eip-id1168468710061\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to translate the question '144 is what percent of 96?' The first step is to translate the words into algebra, writing 144 as 144, representing the word 'is' with an equals sign, letting the variable p be equal to the percent, representing the word 'of' with a multiplication dot, and writing 96 as 96. The result is the equation 144 = p \u00b7 96. The second step is to divide both sides of the equation by 96. The third step is to simplify. The result is 1.5 = p. The fourth step is to convert the decimal to a percent. 150% = p. 144 is 150% of 96.\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>the amount of the tip<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let [latex]t=[\/latex] amount of tip.<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence that give the information to find it.<\/td>\n<td>The tip is 18% of the total bill.<\/td>\n<\/tr>\n<tr>\n<td>Translate the sentence into an equation.<\/td>\n<td><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221939\/CNX_BMath_Figure_06_02_009_img-01.png\" alt=\".\" \/><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>[latex]t=12.33[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check. Is this answer reasonable?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>If we approximate the bill to [latex]\\text{\\$70}[\/latex] and the percent to [latex]20\\text{%}[\/latex], we would have a tip of [latex]\\text{\\$14}[\/latex].<\/p>\n<p>So a tip of [latex]\\text{\\$12.33}[\/latex] seems reasonable.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>The couple should leave a tip of [latex]\\text{\\$12.33}[\/latex].<\/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=\"ohm146694\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146694&theme=oea&iframe_resize_id=ohm146694&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>In the next video we show another example of finding how much tip to give based on percent.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Percent Application - Tipping\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/yFaa2CMx9rk?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>The label on Masao&#8217;s breakfast cereal said that one serving of cereal provides [latex]85[\/latex] milligrams (mg) of potassium, which is [latex]\\text{2%}[\/latex] of the recommended daily amount. What is the total recommended daily amount of potassium?<\/p>\n<p><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221942\/CNX_BMath_Figure_06_02_002.png\" alt=\"The figures shows the nutrition facts for cereal.\" \/><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q744443\">Show Solution<\/span><\/p>\n<div id=\"q744443\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168468583805\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to solve the percent problem. Determine what you are asked to find. That is the total amount of potassium recommended. Choose a variable to represent the total amount of potassium. Let the variable a be equal to the total amount of potassium. Write a sentence that gives the information to find the total amount of the potassium. That sentence is '85 milligrams is 2% of the total amount.' Translate the sentence into an equation, writing 85 milligrams as 85, representing the word 'is' with an equals sign, writing 2% as 0.02, representing the word 'of' with a multiplication dot, and writing a as a. The result is the equation 85 = 0.02 \u00b7 a. Divide both sides of the equation by 0.02. Simplify. The result is the equation 4,250 = a. Write a complete sentence that answers the question. The sentence is 'The amount of potassium that is recommended is 4,250 milligrams. Check the reasonableness of the answer. It is reasonable because 2% is a small percent and 85 is a small part of 4,250.\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>the total amount of potassium recommended<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let [latex]a=[\/latex] total amount of potassium.<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence that gives the information to find it.<\/td>\n<td>[latex]85[\/latex] mg is [latex]2\\text{%}[\/latex] of the total amount.<\/td>\n<\/tr>\n<tr>\n<td>Translate the sentence into an equation.<\/td>\n<td><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221944\/CNX_BMath_Figure_06_02_010_img-01.png\" alt=\".\" \/><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by [latex]0.02[\/latex].<\/td>\n<td>[latex]{\\Large\\frac{85}{0.02}}={\\Large\\frac{0.02a}{0.02}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]4,250=a[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check: Is this answer reasonable?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Yes. [latex]2\\text{%}[\/latex] is a small percent and [latex]85[\/latex] is a small part of [latex]4,250[\/latex].<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>The amount of potassium that is recommended is [latex]4250[\/latex] mg.<\/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=\"ohm146697\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146697&theme=oea&iframe_resize_id=ohm146697&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146702\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146702&theme=oea&iframe_resize_id=ohm146702&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>Mitzi received some gourmet brownies as a gift. The wrapper said each brownie was [latex]480[\/latex] calories, and had [latex]240[\/latex] calories of fat. What percent of the total calories in each brownie comes from fat?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q188177\">Show Solution<\/span><\/p>\n<div id=\"q188177\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168466156738\" class=\"unnumbered unstyled\" summary=\"The figure shows the steps to solve the percent problem. Determine what you are asked to find. That is the percent of the total calories from fat. Choose a variable to represent the percent of the total calories from fat. Let the variable p be equal to percent from fat. Write a sentence that gives the information to find the percent of the total calories from fat. That sentence is 'What percent of 480 is 240?' Translate the sentence into an equation, writing letting the percent be equal to p, representing the word 'of' with a multiplication dot, writing 480 as 480, representing the word 'is' with an equals sign, and writing 240 as 240. The result is the equation p \u00b7 480 = 240. Divide both sides of the equation by 480. Simplify. The result is p = 0.5. Convert the decimal to percent form. The result is p = 50%. Write a complete sentence that answers the question. The sentence is 'Of the total calories in each brownie, 50% is fat. Check the reasonableness of the answer. 240 is half of 480, so 50% makes sense.\">\n<tbody>\n<tr>\n<td>What are you asked to find?<\/td>\n<td>the percent of the total calories from fat<\/td>\n<\/tr>\n<tr>\n<td>Choose a variable to represent it.<\/td>\n<td>Let [latex]p=[\/latex] percent from fat.<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence that gives the information to find it.<\/td>\n<td>What percent of [latex]480[\/latex] is [latex]240[\/latex]?<\/td>\n<\/tr>\n<tr>\n<td>Translate the sentence into an equation.<\/td>\n<td><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221949\/CNX_BMath_Figure_06_02_011_img-01.png\" alt=\".\" \/><\/td>\n<\/tr>\n<tr>\n<td>Divide both sides by [latex]480[\/latex].<\/td>\n<td>[latex]{\\Large\\frac{{p}\\cdot{480}}{480}}={\\Large\\frac{240}{480}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]p=0.5[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Convert to percent form.<\/td>\n<td>[latex]p=\\text{50%}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check. Is this answer reasonable?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Yes. [latex]240[\/latex] is half of [latex]480[\/latex], so [latex]50\\text{%}[\/latex] makes sense.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Write a complete sentence that answers the question.<\/td>\n<td>Of the total calories in each brownie, [latex]50\\text{%}[\/latex] is fat.<\/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=\"ohm146703\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146703&theme=oea&iframe_resize_id=ohm146703&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>The following video show another example of how to solve an application that involves percent.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Example 1:  Percent Application Problem\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/mRekG7LsUys?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\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-4472\">\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 146703, 146702, 146701, 146697. <strong>Authored by<\/strong>: Lumen Learning. <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, Shared previously<\/div><ul class=\"citation-list\"><li>Percent Application - Tipping. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/yFaa2CMx9rk\">https:\/\/youtu.be\/yFaa2CMx9rk<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Example 1: Percent Application Problem. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/mRekG7LsUys\">https:\/\/youtu.be\/mRekG7LsUys<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/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":3,"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 146703, 146702, 146701, 146697\",\"author\":\"Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"IMathAS Community License CC-BY + GPL\"},{\"type\":\"cc\",\"description\":\"Percent Application - Tipping\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/yFaa2CMx9rk\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Example 1: Percent Application Problem\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/mRekG7LsUys\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-4472","chapter","type-chapter","status-publish","hentry"],"part":3698,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/4472","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/users\/25777"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/4472\/revisions"}],"predecessor-version":[{"id":4473,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/4472\/revisions\/4473"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/parts\/3698"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/4472\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/media?parent=4472"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=4472"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/contributor?post=4472"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/license?post=4472"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}