{"id":16674,"date":"2022-01-09T19:38:47","date_gmt":"2022-01-09T19:38:47","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/?post_type=chapter&p=16674"},"modified":"2022-01-09T20:12:29","modified_gmt":"2022-01-09T20:12:29","slug":"solutions-problem-solving-with-systems","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/chapter\/solutions-problem-solving-with-systems\/","title":{"raw":"Solutions: Problem Solving with Systems","rendered":"Solutions: Problem Solving with Systems"},"content":{"raw":"

Solutions to Odd-Numbered Exercises<\/h2>\r\n1.\u00a0This means there is no realistic break-even point. By the time the company produces one unit they are already making profit.\r\n\r\n3.\u00a0They never turn a profit.\r\n\r\n5.\u00a0[latex]\\left(1,250,100,000\\right)[\/latex]\r\n\r\n7.\u00a0The numbers are 7.5 and 20.5.\r\n\r\n9.\u00a024,000\r\n\r\n11.\u00a0790 sophomores, 805 freshman\r\n\r\n13.\u00a056 men, 74 women\r\n\r\n15.\u00a010 gallons of 10% solution, 15 gallons of 60% solution\r\n\r\n17.\u00a0Swan Peak: $750,000, Riverside: $350,000\r\n\r\n19.\u00a0$12,500 in the first account, $10,500 in the second account.\r\n\r\n21.\u00a0High-tops: 45, Low-tops: 15\r\n\r\n23.\u00a0Infinitely many solutions. We need more information.\r\n\r\n25.\u00a070 grandparents, 140 parents, 190 children\r\n\r\n27.\u00a0Your share was $19.95, Sarah\u2019s share was $40, and your other roommate\u2019s share was $22.05.\r\n\r\n29.\u00a0There are infinitely many solutions; we need more information\r\n\r\n31.\u00a0500 students, 225 children, and 450 adults\r\n\r\n33.\u00a0The BMW was $49,636, the Jeep was $42,636, and the Toyota was $47,727.\r\n\r\n35.\u00a0$400,000 in the account that pays 3% interest, $500,000 in the account that pays 4% interest, and $100,000 in the account that pays 2% interest.\r\n\r\n37.\u00a0The United States consumed 26.3%, Japan 7.1%, and China 6.4% of the world\u2019s oil.\r\n\r\n39.\u00a0Saudi Arabia imported 16.8%, Canada imported 15.1%, and Mexico 15.0%\r\n\r\n41.\u00a0Birds were 19.3%, fish were 18.6%, and mammals were 17.1% of endangered species\r\n\r\n43. Yes, 18, 38\r\n\r\n45.\u00a0Yes; 33, 36, 37\r\n\r\n47.\u00a0$7,000 in first account, $3,000 in second account.\r\n\r\n49.\u00a0120 children, 1,080 adult\r\n\r\n51.\u00a04 gal yellow, 6 gal blue\r\n\r\n53.\u00a013 green tomatoes, 17 red tomatoes\r\n\r\n55.\u00a0Strawberries 18%, oranges 9%, kiwi 10%\r\n\r\n57.\u00a0100 for movie 1, 230 for movie 2, 312 for movie 3\r\n\r\n59.\u00a020\u201329: 2,100, 30\u201339: 2,600, 40\u201349: 825\r\n\r\n61.\u00a0300 almonds, 400 cranberries, 300 cashews","rendered":"

Solutions to Odd-Numbered Exercises<\/h2>\n

1.\u00a0This means there is no realistic break-even point. By the time the company produces one unit they are already making profit.<\/p>\n

3.\u00a0They never turn a profit.<\/p>\n

5.\u00a0[latex]\\left(1,250,100,000\\right)[\/latex]<\/p>\n

7.\u00a0The numbers are 7.5 and 20.5.<\/p>\n

9.\u00a024,000<\/p>\n

11.\u00a0790 sophomores, 805 freshman<\/p>\n

13.\u00a056 men, 74 women<\/p>\n

15.\u00a010 gallons of 10% solution, 15 gallons of 60% solution<\/p>\n

17.\u00a0Swan Peak: $750,000, Riverside: $350,000<\/p>\n

19.\u00a0$12,500 in the first account, $10,500 in the second account.<\/p>\n

21.\u00a0High-tops: 45, Low-tops: 15<\/p>\n

23.\u00a0Infinitely many solutions. We need more information.<\/p>\n

25.\u00a070 grandparents, 140 parents, 190 children<\/p>\n

27.\u00a0Your share was $19.95, Sarah\u2019s share was $40, and your other roommate\u2019s share was $22.05.<\/p>\n

29.\u00a0There are infinitely many solutions; we need more information<\/p>\n

31.\u00a0500 students, 225 children, and 450 adults<\/p>\n

33.\u00a0The BMW was $49,636, the Jeep was $42,636, and the Toyota was $47,727.<\/p>\n

35.\u00a0$400,000 in the account that pays 3% interest, $500,000 in the account that pays 4% interest, and $100,000 in the account that pays 2% interest.<\/p>\n

37.\u00a0The United States consumed 26.3%, Japan 7.1%, and China 6.4% of the world\u2019s oil.<\/p>\n

39.\u00a0Saudi Arabia imported 16.8%, Canada imported 15.1%, and Mexico 15.0%<\/p>\n

41.\u00a0Birds were 19.3%, fish were 18.6%, and mammals were 17.1% of endangered species<\/p>\n

43. Yes, 18, 38<\/p>\n

45.\u00a0Yes; 33, 36, 37<\/p>\n

47.\u00a0$7,000 in first account, $3,000 in second account.<\/p>\n

49.\u00a0120 children, 1,080 adult<\/p>\n

51.\u00a04 gal yellow, 6 gal blue<\/p>\n

53.\u00a013 green tomatoes, 17 red tomatoes<\/p>\n

55.\u00a0Strawberries 18%, oranges 9%, kiwi 10%<\/p>\n

57.\u00a0100 for movie 1, 230 for movie 2, 312 for movie 3<\/p>\n

59.\u00a020\u201329: 2,100, 30\u201339: 2,600, 40\u201349: 825<\/p>\n

61.\u00a0300 almonds, 400 cranberries, 300 cashews<\/p>\n","protected":false},"author":473810,"menu_order":33,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-16674","chapter","type-chapter","status-publish","hentry"],"part":13184,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/chapters\/16674","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/wp\/v2\/users\/473810"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/chapters\/16674\/revisions"}],"predecessor-version":[{"id":16688,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/chapters\/16674\/revisions\/16688"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/parts\/13184"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/chapters\/16674\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/wp\/v2\/media?parent=16674"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/pressbooks\/v2\/chapter-type?post=16674"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/wp\/v2\/contributor?post=16674"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/wp-json\/wp\/v2\/license?post=16674"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}