{"id":7229,"date":"2017-05-09T20:30:04","date_gmt":"2017-05-09T20:30:04","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=7229"},"modified":"2019-05-24T19:35:41","modified_gmt":"2019-05-24T19:35:41","slug":"solve-general-applications-of-percent","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/chapter\/solve-general-applications-of-percent\/","title":{"raw":"Introduction to Solving General Applications of Percent","rendered":"Introduction to Solving General Applications of Percent"},"content":{"raw":"<h2>What you'll learn to do: Solve general applications of percent<\/h2>\r\n[caption id=\"attachment_11699\" align=\"aligncenter\" width=\"714\"]<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/09220540\/14519630109_3a32c5da0e_o.jpg\"><img class=\"wp-image-11699\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/09220540\/14519630109_3a32c5da0e_o-767x1024.jpg\" alt=\"A black lab dog looking up hungrily at a pouch full of cherry tomatoes\" width=\"714\" height=\"953\" \/><\/a> Bingo needs to go on a special diet, and finding his new food will require an understanding of percents.[\/caption]\r\n\r\nKaren noticed her black lab, Bingo, wasn't feeling well. He wouldn't eat his dinner for several nights in a row, and he didn't want to play. So Karen took him to the vet, where she learned that Bingo has a digestive condition\u00a0that requires a special diet. The vet told her that 25% of his diet must be protein. Now Karen needs\u00a0to calculate whether a certain brand of dog food has a suitable protein content. To figure this out, she'll\u00a0need to be able to solve\u00a0basic percent equations. Read on to find out more about working with percents.\r\n\r\nBefore you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.\r\n<div class=\"textbox examples\">\r\n<h3>Readiness Quiz<\/h3>\r\n1)\r\n\r\n[ohm_question]146180[\/ohm_question]\r\n\r\nIf you missed this problem, review this example.\r\n<div class=\"textbox shaded\">\r\n\r\nTranslate and solve: Two-thirds of [latex]f[\/latex] is [latex]18[\/latex].\r\n\r\n[reveal-answer q=\"896067\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"896067\"]\r\n\r\nSolution:\r\n<table id=\"eip-id1168047349783\" class=\"unnumbered unstyled\" translate=\"\" summary=\"The first line says to translate. Underneath the phrase, \" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td colspan=\"2\">Translate.<\/td>\r\n<td><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221346\/CNX_BMath_Figure_04_07_039_img-01.png\" alt=\".\" data-media-type=\"image\/png\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"2\">Multiply both sides by [latex]\\Large\\frac{3}{2}[\/latex] .<\/td>\r\n<td>[latex]\\color{red}{\\Large\\frac{3}{2}}\\normalsize\\cdot\\Large\\frac{2}{3}\\normalsize f=\\color{red}{\\Large\\frac{3}{2}}\\normalsize\\cdot 18[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"2\">Simplify.<\/td>\r\n<td>[latex]f=27[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Check:<\/td>\r\n<td>Is two-thirds of [latex]27[\/latex] equal to [latex]18[\/latex] ?<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate.<\/td>\r\n<td>[latex]\\Large\\frac{2}{3}\\normalsize(27)\\stackrel{?}{=}18[\/latex]<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify. It checks.<\/td>\r\n<td>[latex]18=18[\/latex]<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n\r\n2)\r\n\r\n[ohm_question]146594[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/55OtS_Dil1Y\r\n\r\n3)\r\n\r\n[ohm_question]146382[\/ohm_question]\r\n\r\nIf you missed this problem, review the video below.\r\n\r\nhttps:\/\/youtu.be\/paV-sXbRkHA\r\n\r\n<\/div>","rendered":"<h2>What you&#8217;ll learn to do: Solve general applications of percent<\/h2>\n<div id=\"attachment_11699\" style=\"width: 724px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/09220540\/14519630109_3a32c5da0e_o.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-11699\" class=\"wp-image-11699\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/09220540\/14519630109_3a32c5da0e_o-767x1024.jpg\" alt=\"A black lab dog looking up hungrily at a pouch full of cherry tomatoes\" width=\"714\" height=\"953\" \/><\/a><\/p>\n<p id=\"caption-attachment-11699\" class=\"wp-caption-text\">Bingo needs to go on a special diet, and finding his new food will require an understanding of percents.<\/p>\n<\/div>\n<p>Karen noticed her black lab, Bingo, wasn&#8217;t feeling well. He wouldn&#8217;t eat his dinner for several nights in a row, and he didn&#8217;t want to play. So Karen took him to the vet, where she learned that Bingo has a digestive condition\u00a0that requires a special diet. The vet told her that 25% of his diet must be protein. Now Karen needs\u00a0to calculate whether a certain brand of dog food has a suitable protein content. To figure this out, she&#8217;ll\u00a0need to be able to solve\u00a0basic percent equations. Read on to find out more about working with percents.<\/p>\n<p>Before you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.<\/p>\n<div class=\"textbox examples\">\n<h3>Readiness Quiz<\/h3>\n<p>1)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146180\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146180&theme=oea&iframe_resize_id=ohm146180&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review this example.<\/p>\n<div class=\"textbox shaded\">\n<p>Translate and solve: Two-thirds of [latex]f[\/latex] is [latex]18[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q896067\">Show Solution<\/span><\/p>\n<div id=\"q896067\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution:<\/p>\n<table id=\"eip-id1168047349783\" class=\"unnumbered unstyled\" translate=\"\" summary=\"The first line says to translate. Underneath the phrase,\" data-label=\"\">\n<tbody>\n<tr>\n<td colspan=\"2\">Translate.<\/td>\n<td><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221346\/CNX_BMath_Figure_04_07_039_img-01.png\" alt=\".\" data-media-type=\"image\/png\" \/><\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\">Multiply both sides by [latex]\\Large\\frac{3}{2}[\/latex] .<\/td>\n<td>[latex]\\color{red}{\\Large\\frac{3}{2}}\\normalsize\\cdot\\Large\\frac{2}{3}\\normalsize f=\\color{red}{\\Large\\frac{3}{2}}\\normalsize\\cdot 18[\/latex]<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\">Simplify.<\/td>\n<td>[latex]f=27[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Check:<\/td>\n<td>Is two-thirds of [latex]27[\/latex] equal to [latex]18[\/latex] ?<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Translate.<\/td>\n<td>[latex]\\Large\\frac{2}{3}\\normalsize(27)\\stackrel{?}{=}18[\/latex]<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Simplify. It checks.<\/td>\n<td>[latex]18=18[\/latex]<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146594\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146594&theme=oea&iframe_resize_id=ohm146594&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the following video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Examples 2: Multiplication of Decimals\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/55OtS_Dil1Y?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146382\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146382&theme=oea&iframe_resize_id=ohm146382&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the video below.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Ex:  Solve a One Step Equation With Decimals by Dividing\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/paV-sXbRkHA?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/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-7229\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Tomato Dog. <strong>Authored by<\/strong>: OakleyOriginals. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.flickr.com\/photos\/oakleyoriginals\/14519630109\/\">https:\/\/www.flickr.com\/photos\/oakleyoriginals\/14519630109\/<\/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>Examples 2: Multiplication of Decimals. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/55OtS_Dil1Y\">https:\/\/youtu.be\/55OtS_Dil1Y<\/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>Ex: Solve a One Step Equation With Decimals by Dividing. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/paV-sXbRkHA\">https:\/\/youtu.be\/paV-sXbRkHA<\/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>Question ID: 146180, 146382, 146594. <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, 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":21,"menu_order":7,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Tomato 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GPL\"}]","CANDELA_OUTCOMES_GUID":"4c77d76a-0f2e-404d-aae2-ba69e33c727c","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-7229","chapter","type-chapter","status-publish","hentry"],"part":7176,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/7229","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/wp\/v2\/users\/21"}],"version-history":[{"count":22,"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/7229\/revisions"}],"predecessor-version":[{"id":15854,"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/7229\/revisions\/15854"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/parts\/7176"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/7229\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/wp\/v2\/media?parent=7229"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=7229"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/wp\/v2\/contributor?post=7229"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/wp\/v2\/license?post=7229"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}