{"id":9134,"date":"2017-05-02T14:51:45","date_gmt":"2017-05-02T14:51:45","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=9134"},"modified":"2020-10-22T09:11:20","modified_gmt":"2020-10-22T09:11:20","slug":"summary-solving-word-problems","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/chapter\/summary-solving-word-problems\/","title":{"raw":"7.3.c - Summary: Solving Word Problems Containing Decimals","rendered":"7.3.c &#8211; Summary: Solving Word Problems Containing Decimals"},"content":{"raw":"<h2 id=\"fs-id1801978\" class=\"key-concepts\">Key Concepts<\/h2>\r\n<section class=\"key-concepts\">\r\n<ul id=\"eip-279\">\r\n \t<li><strong>Finding the Total Value for Coins of the Same Type<\/strong>\r\n<ul id=\"eip-id1170326209162\">\r\n \t<li>For coins of the same type, the total value can be found as follows: [latex]\\begin{array}{c}\\text{number}\\cdot \\text{value}=\\text{total value}\\hfill \\end{array}[\/latex]where <em>number<\/em> is the number of coins, <em>value<\/em> is the value of each coin, and <em>total value<\/em> is the total value of all the coins.<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Solve a Coin Word Problem<\/strong>\r\n<ol id=\"eip-id1170325447033\" class=\"stepwise\">\r\n \t<li><strong>Read<\/strong> the problem. Make sure you understand all the words and ideas, and create a table to organize the information.<\/li>\r\n \t<li><strong>Identify<\/strong> what you are looking for.<\/li>\r\n \t<li><strong>Name<\/strong> what you are looking for. Choose a variable to represent that quantity.\r\n<ul id=\"eip-id1170320560647\">\r\n \t<li>Use variable expressions to represent the number of each type of coin, and write them in the table.<\/li>\r\n \t<li>Multiply the <em>number<\/em> times the <em>value<\/em> to get the <em>total value<\/em> of each type of coin.<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Translate<\/strong> into an equation. Write the equation by adding the total values of all the types of coins.<\/li>\r\n \t<li><strong>Solve<\/strong> the equation using good algebra techniques.<\/li>\r\n \t<li><strong>Check<\/strong> the answer in the problem and make sure it makes sense.<\/li>\r\n \t<li><strong>Answer<\/strong> the question with a complete sentence.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>You may find it helpful to put all the numbers into a table to make sure they check.\r\n<table id=\"eip-id1170322679942\" class=\"unnumbered\" summary=\"...\">\r\n<thead>\r\n<tr valign=\"top\">\r\n<th>Type<\/th>\r\n<th>[latex]\\text{Number}[\/latex]<\/th>\r\n<th>[latex]\\text{Value (\\$)}[\/latex]<\/th>\r\n<th>[latex]\\text{Total Value (\\$)}[\/latex]<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr valign=\"top\">\r\n<td>Quarter<\/td>\r\n<td>\u00a03<\/td>\r\n<td>\u00a0.25<\/td>\r\n<td>\u00a0.75<\/td>\r\n<\/tr>\r\n<tr valign=\"top\">\r\n<td>Nickel<\/td>\r\n<td>\u00a02<\/td>\r\n<td>\u00a0.05<\/td>\r\n<td>\u00a0.1<\/td>\r\n<\/tr>\r\n<tr valign=\"top\">\r\n<td colspan=\"3\"><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n<\/ul>\r\n<\/section>","rendered":"<h2 id=\"fs-id1801978\" class=\"key-concepts\">Key Concepts<\/h2>\n<section class=\"key-concepts\">\n<ul id=\"eip-279\">\n<li><strong>Finding the Total Value for Coins of the Same Type<\/strong>\n<ul id=\"eip-id1170326209162\">\n<li>For coins of the same type, the total value can be found as follows: [latex]\\begin{array}{c}\\text{number}\\cdot \\text{value}=\\text{total value}\\hfill \\end{array}[\/latex]where <em>number<\/em> is the number of coins, <em>value<\/em> is the value of each coin, and <em>total value<\/em> is the total value of all the coins.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Solve a Coin Word Problem<\/strong>\n<ol id=\"eip-id1170325447033\" class=\"stepwise\">\n<li><strong>Read<\/strong> the problem. Make sure you understand all the words and ideas, and create a table to organize the information.<\/li>\n<li><strong>Identify<\/strong> what you are looking for.<\/li>\n<li><strong>Name<\/strong> what you are looking for. Choose a variable to represent that quantity.\n<ul id=\"eip-id1170320560647\">\n<li>Use variable expressions to represent the number of each type of coin, and write them in the table.<\/li>\n<li>Multiply the <em>number<\/em> times the <em>value<\/em> to get the <em>total value<\/em> of each type of coin.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Translate<\/strong> into an equation. Write the equation by adding the total values of all the types of coins.<\/li>\n<li><strong>Solve<\/strong> the equation using good algebra techniques.<\/li>\n<li><strong>Check<\/strong> the answer in the problem and make sure it makes sense.<\/li>\n<li><strong>Answer<\/strong> the question with a complete sentence.<\/li>\n<\/ol>\n<\/li>\n<li>You may find it helpful to put all the numbers into a table to make sure they check.<br \/>\n<table id=\"eip-id1170322679942\" class=\"unnumbered\" summary=\"...\">\n<thead>\n<tr valign=\"top\">\n<th>Type<\/th>\n<th>[latex]\\text{Number}[\/latex]<\/th>\n<th>[latex]\\text{Value (\\$)}[\/latex]<\/th>\n<th>[latex]\\text{Total Value (\\$)}[\/latex]<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr valign=\"top\">\n<td>Quarter<\/td>\n<td>\u00a03<\/td>\n<td>\u00a0.25<\/td>\n<td>\u00a0.75<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td>Nickel<\/td>\n<td>\u00a02<\/td>\n<td>\u00a0.05<\/td>\n<td>\u00a0.1<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td colspan=\"3\"><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ul>\n<\/section>\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-9134\">\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":20,"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":"35a3b272f7494918b7cde6507e2e2275","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-9134","chapter","type-chapter","status-publish","hentry"],"part":7476,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/9134","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":15,"href":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/9134\/revisions"}],"predecessor-version":[{"id":20313,"href":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/9134\/revisions\/20313"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/wp-json\/pressbooks\/v2\/parts\/7476"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/9134\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/wp-json\/wp\/v2\/media?parent=9134"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/wp-json\/pressbooks\/v2\/chapter-type?post=9134"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/wp-json\/wp\/v2\/contributor?post=9134"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/wp-json\/wp\/v2\/license?post=9134"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}