{"id":10435,"date":"2017-05-26T20:36:56","date_gmt":"2017-05-26T20:36:56","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=10435"},"modified":"2024-04-30T16:42:03","modified_gmt":"2024-04-30T16:42:03","slug":"summary-solve-general-applications-of-percent","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/summary-solve-general-applications-of-percent\/","title":{"raw":"Summary: Solving General Applications of Percents","rendered":"Summary: Solving General Applications of Percents"},"content":{"raw":"<h2 data-type=\"title\">Key Concepts<\/h2>\r\n<ul id=\"fs-id1377198\" data-bullet-style=\"bullet\">\r\n \t<li><strong>Solve an application.<\/strong>\r\n<ol id=\"eip-id1170172919942\" class=\"stepwise\" data-number-style=\"arabic\">\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>Write a complete sentence that answers the question.<\/li>\r\n \t<li>Check the answer in the problem and make sure it makes sense.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li><strong>Find percent increase.<\/strong>\r\n<ol id=\"eip-id1170173488767\" class=\"stepwise\" data-number-style=\"arabic\">\r\n \t<li>Find the amount of increase:[latex]\\text{increase}=\\text{new amount}-\\text{original amount}[\/latex]<\/li>\r\n \t<li>Find the percent increase as a percent of the original amount.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li><strong>Find percent decrease.<\/strong>\r\n<ol id=\"eip-id1170154414620\" class=\"stepwise\" data-number-style=\"arabic\">\r\n \t<li>Find the amount of decrease.[latex]\\text{decrease}=\\text{original amount}-\\text{new amount}[\/latex]<\/li>\r\n \t<li>Find the percent decrease as a percent of the original amount.<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<dl id=\"fs-id1166493279699\" class=\"definition\">\r\n \t<dt><strong>percent increase<\/strong><\/dt>\r\n \t<dd id=\"fs-id1166492075980\">The percent increase is the percent the amount of increase is of the original amount.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1752340\" class=\"definition\">\r\n \t<dt><strong>percent decrease<\/strong><\/dt>\r\n \t<dd id=\"fs-id1358142\">The percent decrease is the percent the amount of decrease is of the original amount.<\/dd>\r\n<\/dl>","rendered":"<h2 data-type=\"title\">Key Concepts<\/h2>\n<ul id=\"fs-id1377198\" data-bullet-style=\"bullet\">\n<li><strong>Solve an application.<\/strong>\n<ol id=\"eip-id1170172919942\" class=\"stepwise\" data-number-style=\"arabic\">\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>Write a complete sentence that answers the question.<\/li>\n<li>Check the answer in the problem and make sure it makes sense.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Find percent increase.<\/strong>\n<ol id=\"eip-id1170173488767\" class=\"stepwise\" data-number-style=\"arabic\">\n<li>Find the amount of increase:[latex]\\text{increase}=\\text{new amount}-\\text{original amount}[\/latex]<\/li>\n<li>Find the percent increase as a percent of the original amount.<\/li>\n<\/ol>\n<\/li>\n<li><strong>Find percent decrease.<\/strong>\n<ol id=\"eip-id1170154414620\" class=\"stepwise\" data-number-style=\"arabic\">\n<li>Find the amount of decrease.[latex]\\text{decrease}=\\text{original amount}-\\text{new amount}[\/latex]<\/li>\n<li>Find the percent decrease as a percent of the original amount.<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl id=\"fs-id1166493279699\" class=\"definition\">\n<dt><strong>percent increase<\/strong><\/dt>\n<dd id=\"fs-id1166492075980\">The percent increase is the percent the amount of increase is of the original amount.<\/dd>\n<\/dl>\n<dl id=\"fs-id1752340\" class=\"definition\">\n<dt><strong>percent decrease<\/strong><\/dt>\n<dd id=\"fs-id1358142\">The percent decrease is the percent the amount of decrease is of the original amount.<\/dd>\n<\/dl>\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-10435\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><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":17533,"menu_order":12,"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\"}]","CANDELA_OUTCOMES_GUID":"099e7b50d88d4d22bec607bc86049e89","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-10435","chapter","type-chapter","status-publish","hentry"],"part":7176,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/10435","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":8,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/10435\/revisions"}],"predecessor-version":[{"id":20391,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/10435\/revisions\/20391"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/parts\/7176"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/10435\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/media?parent=10435"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapter-type?post=10435"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/contributor?post=10435"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/license?post=10435"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}