{"id":15392,"date":"2021-10-11T23:05:43","date_gmt":"2021-10-11T23:05:43","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/chapter\/problem-set-applications-with-decimals\/"},"modified":"2021-10-17T00:59:15","modified_gmt":"2021-10-17T00:59:15","slug":"problem-set-applications-with-decimals","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/chapter\/problem-set-applications-with-decimals\/","title":{"raw":"Problem Set: Ratios and Rates","rendered":"Problem Set: Ratios and Rates"},"content":{"raw":"

Write a Ratio as a Fraction<\/strong><\/h3>\r\nIn the following exercises, write each ratio as a fraction.\r\n
    \r\n \t
  1. [latex]20[\/latex] to [latex]36[\/latex]\r\n[reveal-answer q=\"677177\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"677177\"][latex]\\Large\\frac{5}{9}[\/latex][\/hidden-answer]<\/li>\r\n \t
  2. [latex]20[\/latex] to [latex]32[\/latex]<\/li>\r\n \t
  3. [latex]42[\/latex] to [latex]48[\/latex]\r\n[reveal-answer q=\"754963\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"754963\"][latex]\\Large\\frac{7}{8}[\/latex][\/hidden-answer]<\/li>\r\n \t
  4. [latex]45[\/latex] to [latex]54[\/latex]<\/li>\r\n \t
  5. [latex]49[\/latex] to [latex]21[\/latex]\r\n[reveal-answer q=\"964831\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"964831\"][latex]\\Large\\frac{7}{3}[\/latex][\/hidden-answer]<\/li>\r\n \t
  6. [latex]56[\/latex] to [latex]16[\/latex]<\/li>\r\n \t
  7. [latex]84[\/latex] to [latex]36[\/latex]\r\n[reveal-answer q=\"187541\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"187541\"][latex]\\Large\\frac{7}{3}[\/latex][\/hidden-answer]<\/li>\r\n \t
  8. [latex]6.4[\/latex] to [latex]0.8[\/latex]<\/li>\r\n \t
  9. [latex]0.56[\/latex] to [latex]2.8[\/latex]\r\n[reveal-answer q=\"89825\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"89825\"][latex]\\Large\\frac{1}{5}[\/latex][\/hidden-answer]<\/li>\r\n \t
  10. [latex]1.26[\/latex] to [latex]4.2[\/latex]<\/li>\r\n \t
  11. [latex]1\\Large\\frac{2}{3}[\/latex] to [latex]2\\Large\\frac{5}{6}[\/latex]\r\n[reveal-answer q=\"962624\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"962624\"][latex]\\Large\\frac{10}{17}[\/latex][\/hidden-answer]<\/li>\r\n \t
  12. [latex]1\\Large\\frac{3}{4}[\/latex] to [latex]2\\Large\\frac{5}{8}[\/latex]<\/li>\r\n \t
  13. [latex]4\\Large\\frac{1}{6}[\/latex] to [latex]3\\Large\\frac{1}{3}[\/latex]\r\n[reveal-answer q=\"14923\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"14923\"][latex]\\Large\\frac{5}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
  14. [latex]5\\Large\\frac{3}{5}[\/latex] to [latex]3\\Large\\frac{3}{5}[\/latex]<\/li>\r\n \t
  15. [latex]{$18}[\/latex] to [latex]{$63}[\/latex]\r\n[reveal-answer q=\"645995\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"645995\"][latex]\\Large\\frac{2}{7}[\/latex][\/hidden-answer]<\/li>\r\n \t
  16. [latex]{$16}[\/latex] to [latex]{$72}[\/latex]<\/li>\r\n \t
  17. [latex]{$1.21}[\/latex] to [latex]{$0.44}[\/latex]\r\n[reveal-answer q=\"569889\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"569889\"][latex]\\Large\\frac{11}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
  18. [latex]{$1.38}[\/latex] to [latex]{$0.69}[\/latex]<\/li>\r\n \t
  19. [latex]28[\/latex] ounces to [latex]84[\/latex] ounces\r\n[reveal-answer q=\"248309\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"248309\"][latex]\\Large\\frac{1}{3}[\/latex][\/hidden-answer]<\/li>\r\n \t
  20. [latex]32[\/latex] ounces to [latex]128[\/latex] ounces<\/li>\r\n \t
  21. [latex]12[\/latex] feet to [latex]46[\/latex] feet\r\n[reveal-answer q=\"822292\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"822292\"][latex]\\Large\\frac{6}{23}[\/latex][\/hidden-answer]<\/li>\r\n \t
  22. [latex]15[\/latex] feet to [latex]57[\/latex] feet<\/li>\r\n \t
  23. [latex]246[\/latex] milligrams to [latex]45[\/latex] milligrams\r\n[reveal-answer q=\"111167\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"111167\"][latex]\\Large\\frac{82}{15}[\/latex][\/hidden-answer]<\/li>\r\n \t
  24. [latex]304[\/latex] milligrams to [latex]48[\/latex] milligrams<\/li>\r\n \t
  25. total cholesterol of [latex]175[\/latex] to HDL cholesterol of [latex]45[\/latex]\r\n[reveal-answer q=\"604564\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"604564\"][latex]\\Large\\frac{35}{9}[\/latex][\/hidden-answer]<\/li>\r\n \t
  26. total cholesterol of [latex]215[\/latex] to HDL cholesterol of [latex]55[\/latex]<\/li>\r\n \t
  27. [latex]27[\/latex] inches to [latex]1[\/latex] foot\r\n[reveal-answer q=\"628342\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"628342\"][latex]\\Large\\frac{9}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
  28. [latex]28[\/latex] inches to [latex]1[\/latex] foot<\/li>\r\n \t
  29. [latex]28[\/latex] to [latex]40[\/latex][latex]56[\/latex] to [latex]32[\/latex]\r\n[reveal-answer q=\"564542\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"564542\"][latex]\\Large\\frac{7}{4}[\/latex][\/hidden-answer]<\/li>\r\n \t
  30. [latex]3.5[\/latex] to [latex]0.5[\/latex]<\/li>\r\n \t
  31. [latex]1.2[\/latex] to [latex]1.8[\/latex]\r\n[reveal-answer q=\"207841\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"207841\"][latex]\\Large\\frac{2}{3}[\/latex][\/hidden-answer]<\/li>\r\n \t
  32. [latex]1\\Large\\frac{3}{4}\\normalsize\\text{to}1\\Large\\frac{5}{8}[\/latex]<\/li>\r\n \t
  33. [latex]2\\Large\\frac{1}{3}\\normalsize\\text{to}5\\Large\\frac{1}{4}[\/latex]\r\n[reveal-answer q=\"124400\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"124400\"][latex]\\Large\\frac{4}{9}[\/latex][\/hidden-answer]<\/li>\r\n \t
  34. [latex]64[\/latex] ounces to [latex]30[\/latex] ounces<\/li>\r\n \t
  35. [latex]28[\/latex] inches to [latex]3[\/latex] feet\r\n[reveal-answer q=\"427555\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"427555\"][latex]\\Large\\frac{7}{9}[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\n

    Write a Rate as a Fraction<\/strong><\/h3>\r\nIn the following exercises, write each rate as a fraction.\r\n
      \r\n \t
    1. [latex]140[\/latex] calories per [latex]12[\/latex] ounces\r\n[reveal-answer q=\"639713\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"639713\"][latex]\\Large\\frac{\\text{35 calories}}{\\text{3 ounces}}[\/latex][\/hidden-answer]<\/li>\r\n \t
    2. [latex]180[\/latex] calories per [latex]16[\/latex] ounces<\/li>\r\n \t
    3. [latex]8.2[\/latex] pounds per [latex]3[\/latex] square inches\r\n[reveal-answer q=\"980124\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"980124\"][latex]\\Large\\frac{\\text{41 lbs}}{\\text{15 sq. in}.}[\/latex][\/hidden-answer]<\/li>\r\n \t
    4. [latex]9.5[\/latex] pounds per [latex]4[\/latex] square inches<\/li>\r\n \t
    5. [latex]488[\/latex] miles in [latex]7[\/latex] hours\r\n[reveal-answer q=\"556923\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"556923\"][latex]\\Large\\frac{\\text{488 miles}}{\\text{7 hours}}[\/latex][\/hidden-answer]<\/li>\r\n \t
    6. [latex]527[\/latex] miles in [latex]9[\/latex] hours<\/li>\r\n \t
    7. [latex]{$595}[\/latex] for [latex]40[\/latex] hours\r\n[reveal-answer q=\"668188\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"668188\"][latex]\\Large\\frac{{$119}}{{8 hours}}[\/latex][\/hidden-answer]<\/li>\r\n \t
    8. [latex]{$798}[\/latex] for [latex]40[\/latex] hours<\/li>\r\n \t
    9. [latex]180[\/latex] calories per [latex]8[\/latex] ounces<\/li>\r\n \t
    10. [latex]90[\/latex] pounds per [latex]7.5[\/latex] square inches\r\n[reveal-answer q=\"510233\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"510233\"][latex]\\Large\\frac{90\\text{pounds}}{7.5\\text{square inches}}[\/latex][\/hidden-answer]<\/li>\r\n \t
    11. [latex]126[\/latex] miles in [latex]4[\/latex] hours<\/li>\r\n \t
    12. [latex]{$612.50}[\/latex] for [latex]35[\/latex] hours\r\n[reveal-answer q=\"446282\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"446282\"][latex]\\Large\\frac{$612.50}{35\\text{hours}}[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\n

      Find Unit Rates<\/strong><\/h3>\r\n

      Exercise 1<\/h4>\r\nIn the following exercises, find the unit rate. Round to two decimal places, if necessary.\r\n
        \r\n \t
      1. \r\n
          \r\n \t
        1. [latex]140[\/latex] calories per [latex]12[\/latex] ounces\r\n[reveal-answer q=\"730040\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"730040\"]11.67 calories\/ounce[\/hidden-answer]<\/li>\r\n \t
        2. [latex]180[\/latex] calories per [latex]16[\/latex] ounces<\/li>\r\n \t
        3. [latex]8.2[\/latex] pounds per [latex]3[\/latex] square inches\r\n[reveal-answer q=\"512121\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"512121\"]2.73 lbs.\/sq. in.[\/hidden-answer]<\/li>\r\n \t
        4. [latex]9.5[\/latex] pounds per [latex]4[\/latex] square inches<\/li>\r\n \t
        5. [latex]488[\/latex] miles in [latex]7[\/latex] hours\r\n[reveal-answer q=\"603567\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"603567\"]69.71 mph[\/hidden-answer]<\/li>\r\n \t
        6. [latex]527[\/latex] miles in [latex]9[\/latex] hours<\/li>\r\n \t
        7. [latex]{$595}[\/latex] for [latex]40[\/latex] hours\r\n[reveal-answer q=\"971548\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"971548\"]$14.88\/hour[\/hidden-answer]<\/li>\r\n \t
        8. [latex]{$798}[\/latex] for [latex]40[\/latex] hours<\/li>\r\n \t
        9. [latex]576[\/latex] miles on [latex]18[\/latex] gallons of gas\r\n[reveal-answer q=\"54375\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"54375\"]32 mpg[\/hidden-answer]<\/li>\r\n \t
        10. [latex]435[\/latex] miles on [latex]15[\/latex] gallons of gas<\/li>\r\n \t
        11. [latex]43[\/latex] pounds in [latex]16[\/latex] weeks\r\n[reveal-answer q=\"924645\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"924645\"]2.69 lbs.\/week[\/hidden-answer]<\/li>\r\n \t
        12. [latex]57[\/latex] pounds in [latex]24[\/latex] weeks<\/li>\r\n \t
        13. [latex]46[\/latex] beats in [latex]0.5[\/latex] minute\r\n[reveal-answer q=\"57459\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"57459\"]92 beats\/minute[\/hidden-answer]<\/li>\r\n \t
        14. [latex]54[\/latex] beats in [latex]0.5[\/latex] minute<\/li>\r\n \t
        15. [latex]180[\/latex] calories per [latex]8[\/latex] ounces<\/li>\r\n \t
        16. [latex]90[\/latex] pounds per [latex]7.5[\/latex] square inches\r\n[reveal-answer q=\"563366\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"563366\"]12 pounds\/sq.in.[\/hidden-answer]<\/li>\r\n \t
        17. [latex]126[\/latex] miles in [latex]4[\/latex] hours<\/li>\r\n \t
        18. [latex]{$612.50}[\/latex] for [latex]35[\/latex] hours\r\n[reveal-answer q=\"577961\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"577961\"]$17.50\/hour[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

          Exercise 2<\/h4>\r\n
            \r\n \t
          1. \r\n
              \r\n \t
            1. The bindery at a printing plant assembles [latex]96,000[\/latex] magazines in [latex]12[\/latex] hours. How many magazines are assembled in one hour?\r\n[reveal-answer q=\"375210\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"375210\"]8,000[\/hidden-answer]<\/li>\r\n \t
            2. The pressroom at a printing plant prints [latex]540,000[\/latex] sections in [latex]12[\/latex] hours. How many sections are printed per hour?<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

              Find Unit Price<\/strong><\/h3>\r\n

              Exercise 1<\/h4>\r\nIn the following exercises, find the unit price. Round to the nearest cent.\r\n
                \r\n \t
              1. \r\n
                  \r\n \t
                1. Soap bars at [latex]8[\/latex] for [latex]{$8.69}[\/latex]\r\n[reveal-answer q=\"718030\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"718030\"]$1.09\/bar[\/hidden-answer]<\/li>\r\n \t
                2. Soap bars at [latex]4[\/latex] for [latex]{$3.39}[\/latex]<\/li>\r\n \t
                3. Women\u2019s sports socks at [latex]6[\/latex] pairs for [latex]{$7.99}[\/latex]\r\n[reveal-answer q=\"50531\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"50531\"]$1.33\/pair[\/hidden-answer]<\/li>\r\n \t
                4. Men\u2019s dress socks at [latex]3[\/latex] pairs for [latex]{$8.49}[\/latex]<\/li>\r\n \t
                5. Snack packs of cookies at [latex]12[\/latex] for [latex]{$5.79}[\/latex]\r\n[reveal-answer q=\"161550\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"161550\"]$0.48\/pack[\/hidden-answer]<\/li>\r\n \t
                6. Granola bars at [latex]5[\/latex] for [latex]{$3.69}[\/latex]<\/li>\r\n \t
                7. CD-RW discs at [latex]25[\/latex] for [latex]{$14.99}[\/latex]\r\n[reveal-answer q=\"273025\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"273025\"]$0.60\/disc[\/hidden-answer]<\/li>\r\n \t
                8. CDs at [latex]50[\/latex] for [latex]{$4.49}[\/latex]<\/li>\r\n \t
                9. t-shirts: [latex]3[\/latex] for [latex]{$8.97}[\/latex]<\/li>\r\n \t
                10. Highlighters: [latex]6[\/latex] for [latex]{$2.52}[\/latex]\r\n[reveal-answer q=\"971855\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"971855\"]$0.42[\/hidden-answer]<\/li>\r\n \t
                11. An office supply store sells a box of pens for [latex]{$11}[\/latex]. The box contains [latex]12[\/latex] pens. How much does each pen cost?<\/li>\r\n \t
                12. Anna bought a pack of [latex]8[\/latex] kitchen towels for [latex]{$13.20}[\/latex]. How much did each towel cost? Round to the nearest cent if necessary.\r\n[reveal-answer q=\"477967\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"477967\"]$1.65[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                  Exercise 2<\/h4>\r\n
                    \r\n \t
                  1. \r\n
                      \r\n \t
                    1. The grocery store has a special on macaroni and cheese. The price is [latex]{$3.87}[\/latex] for [latex]3[\/latex] boxes. How much does each box cost?\r\n[reveal-answer q=\"958291\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"958291\"]$1.29\/box[\/hidden-answer]<\/li>\r\n \t
                    2. The pet store has a special on cat food. The price is [latex]{$4.32}[\/latex] for [latex]12[\/latex] cans. How much does each can cost?<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                      Exercise 3<\/h4>\r\nIn the following exercises, find each unit price and then identify the better buy. Round to three decimal places.\r\n
                        \r\n \t
                      1. \r\n
                          \r\n \t
                        1. Mouthwash, [latex]{50.7-ounce}[\/latex] size for [latex]{$6.99}[\/latex] or [latex]{33.8-ounce}[\/latex] size for [latex]{$4.79}[\/latex]\r\n[reveal-answer q=\"7732\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"7732\"]The 50.7-ounce size costs $0.138 per ounce. The 33.8-ounce size costs $0.142 per ounce. The 50.7-ounce size is the better buy.[\/hidden-answer]<\/li>\r\n \t
                        2. Toothpaste, [latex]6[\/latex] ounce size for [latex]{$3.19}[\/latex] or [latex]7.8-ounce[\/latex] size for [latex]{$5.19}[\/latex]<\/li>\r\n \t
                        3. Breakfast cereal, [latex]18[\/latex] ounces for [latex]{$3.99}[\/latex] or [latex]14[\/latex] ounces for [latex]{$3.29}[\/latex]\r\n[reveal-answer q=\"75328\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"75328\"]The 18-ounce size costs $0.222 per ounce. The 14-ounce size costs $0.235 per ounce. The 18-ounce size is a better buy.[\/hidden-answer]<\/li>\r\n \t
                        4. Breakfast Cereal, [latex]10.7[\/latex] ounces for [latex]{$2.69}[\/latex] or [latex]14.8[\/latex] ounces for [latex]{$3.69}[\/latex]<\/li>\r\n \t
                        5. Ketchup, [latex]{40-ounce}[\/latex] regular bottle for [latex]{$2.99}[\/latex] or [latex]{64-ounce}[\/latex] squeeze bottle for [latex]{$4.39}[\/latex]\r\n[reveal-answer q=\"229860\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"229860\"]The regular bottle costs $0.075 per ounce. The squeeze bottle costs $0.069 per ounce. The squeeze bottle is a better buy.[\/hidden-answer]<\/li>\r\n \t
                        6. Mayonnaise [latex]{15-ounce}[\/latex] regular bottle for [latex]{$3.49}[\/latex] or [latex]{22-ounce}[\/latex] squeeze bottle for [latex]{$4.99}[\/latex]<\/li>\r\n \t
                        7. Cheese [latex]{$6.49}[\/latex] for [latex]1[\/latex] lb. block or [latex]{$3.39}[\/latex] for [latex]\\Large\\frac{1}{2}[\/latex] lb. block\r\n[reveal-answer q=\"135232\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"135232\"]The half-pound block costs $6.78\/lb, so the 1-lb. block is a better buy.[\/hidden-answer]<\/li>\r\n \t
                        8. Candy [latex]{$10.99}[\/latex] for a [latex]1[\/latex] lb. bag or [latex]{$2.89}[\/latex] for [latex]\\Large\\frac{1}{4}[\/latex] lb. of loose candy<\/li>\r\n \t
                        9. Shampoo: [latex]12[\/latex] ounces for [latex]{$4.29}[\/latex] or [latex]22[\/latex] ounces for [latex]{$7.29}?[\/latex]<\/li>\r\n \t
                        10. Vitamins: [latex]60[\/latex] tablets for [latex]{$6.49}[\/latex] or [latex]100[\/latex] for [latex]{$11.99}?[\/latex]\r\n[reveal-answer q=\"76858\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"76858\"]$0.11, $0.12; 60 tablets for $6.49[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                          Translate Phrases to Expressions with Fractions<\/strong><\/h3>\r\nIn the following exercises, translate the English phrase into an algebraic expression.\r\n
                            \r\n \t
                          1. \r\n
                              \r\n \t
                            1. [latex]793[\/latex] miles per [latex]p[\/latex] hours\r\n[reveal-answer q=\"873166\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"873166\"][latex]\\Large\\frac{\\text{793 miles}}{p \\text{hours}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                            2. [latex]78[\/latex] feet per [latex]r[\/latex] seconds<\/li>\r\n \t
                            3. [latex]{$3}[\/latex] for [latex]0.5[\/latex] lbs.\r\n[reveal-answer q=\"978449\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"978449\"][latex]\\Large\\frac{{$3}}{{0.5 lbs}.}[\/latex][\/hidden-answer]<\/li>\r\n \t
                            4. [latex]j[\/latex] beats in [latex]0.5[\/latex] minutes<\/li>\r\n \t
                            5. [latex]105[\/latex] calories in [latex]x[\/latex] ounces\r\n[reveal-answer q=\"891872\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"891872\"][latex]\\Large\\frac{\\text{105 calories}} {x \\text {ounces}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                            6. [latex]400[\/latex] minutes for [latex]m[\/latex] dollars<\/li>\r\n \t
                            7. the ratio of [latex]y[\/latex] and [latex]5x[\/latex]\r\n[reveal-answer q=\"860976\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"860976\"][latex]\\Large\\frac{y}{5x}[\/latex][\/hidden-answer]<\/li>\r\n \t
                            8. the ratio of [latex]12x[\/latex] and [latex]y[\/latex]<\/li>\r\n \t
                            9. [latex]535[\/latex] miles per [latex]h\\text{hours}[\/latex]<\/li>\r\n \t
                            10. [latex]a[\/latex] adults to [latex]45[\/latex] children\r\n[reveal-answer q=\"350543\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"350543\"][latex]\\Large\\frac{a\\text{adults}}{45\\text{children}}[\/latex][\/hidden-answer]<\/li>\r\n \t
                            11. the ratio of [latex]4y[\/latex] and the difference of [latex]x[\/latex] and [latex]10[\/latex]<\/li>\r\n \t
                            12. the ratio of [latex]19[\/latex] and the sum of [latex]3[\/latex] and [latex]n[\/latex]\r\n[reveal-answer q=\"339287\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"339287\"][latex]\\Large\\frac{19}{3+n}[\/latex][\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                              Everyday Math<\/h3>\r\n
                              \r\n

                              Everyday math<\/h3>\r\n
                                \r\n \t
                              1. One elementary school in Ohio has [latex]684[\/latex] students and [latex]45[\/latex] teachers. Write the student-to-teacher ratio as a unit rate.\r\n[reveal-answer q=\"286092\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"286092\"]15.2 students per teacher[\/hidden-answer]<\/li>\r\n \t
                              2. The average American produces about [latex]1,600[\/latex] pounds of paper trash per year (365 days). How many pounds of paper trash does the average American produce each day? (Round to the nearest tenth of a pound.)<\/li>\r\n \t
                              3. A popular fast food burger weighs [latex]7.5[\/latex] ounces and contains [latex]540[\/latex] calories, [latex]29[\/latex] grams of fat, [latex]43[\/latex] grams of carbohydrates, and [latex]25[\/latex] grams of protein. Find the unit rate of \u24d0 calories per ounce \u24d1 grams of fat per ounce \u24d2 grams of carbohydrates per ounce \u24d3 grams of protein per ounce. Round to two decimal places.\r\n[reveal-answer q=\"342782\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"342782\"]\u24d0 72 calories\/ounce \u24d1 3.87 grams of fat\/ounce \u24d2 5.73 grams carbs\/once \u24d3 3.33 grams protein\/ounce[\/hidden-answer]<\/li>\r\n \t
                              4. A [latex]16-ounce[\/latex] chocolate mocha coffee with whipped cream contains [latex]470[\/latex] calories, [latex]18[\/latex] grams of fat, [latex]63[\/latex] grams of carbohydrates, and [latex]15[\/latex] grams of protein. Find the unit rate of \u24d0 calories per ounce \u24d1 grams of fat per ounce \u24d2 grams of carbohydrates per ounce \u24d3 grams of protein per ounce.<\/li>\r\n<\/ol>\r\n<\/div>\r\n \r\n
                                \r\n

                                Writing Exercises<\/h3>\r\n
                                  \r\n \t
                                1. Would you prefer the ratio of your income to your friend\u2019s income to be [latex]\\text{3\/1}[\/latex] or [latex]1\/3?[\/latex] Explain your reasoning.\r\nAnswers will vary.<\/li>\r\n \t
                                2. The parking lot at the airport charges [latex]{$0.75}[\/latex] for every [latex]15[\/latex] minutes. \u24d0 How much does it cost to park for [latex]1[\/latex] hour? \u24d1 Explain how you got your answer to part \u24d0. Was your reasoning based on the unit cost or did you use another method?<\/li>\r\n \t
                                3. Kathryn ate a [latex]4-ounce[\/latex] cup of frozen yogurt and then went for a swim. The frozen yogurt had [latex]115[\/latex] calories. Swimming burns [latex]422[\/latex] calories per hour. For how many minutes should Kathryn swim to burn off the calories in the frozen yogurt? Explain your reasoning.\r\nAnswers will vary.<\/li>\r\n \t
                                4. Mollie had a [latex]16-ounce[\/latex] cappuccino at her neighborhood coffee shop. The cappuccino had [latex]110[\/latex] calories. If Mollie walks for one hour, she burns [latex]246[\/latex] calories. For how many minutes must Mollie walk to burn off the calories in the cappuccino? Explain your reasoning.<\/li>\r\n<\/ol>\r\n<\/div>\r\n

                                  Contribute!<\/h2>\r\n
                                  Did you have an idea for improving this content? We\u2019d love your input.<\/div>\r\nImprove this page<\/a>Learn More<\/a>","rendered":"

                                  Write a Ratio as a Fraction<\/strong><\/h3>\n

                                  In the following exercises, write each ratio as a fraction.<\/p>\n

                                    \n
                                  1. [latex]20[\/latex] to [latex]36[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{5}{9}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  2. [latex]20[\/latex] to [latex]32[\/latex]<\/li>\n
                                  3. [latex]42[\/latex] to [latex]48[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{7}{8}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  4. [latex]45[\/latex] to [latex]54[\/latex]<\/li>\n
                                  5. [latex]49[\/latex] to [latex]21[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{7}{3}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  6. [latex]56[\/latex] to [latex]16[\/latex]<\/li>\n
                                  7. [latex]84[\/latex] to [latex]36[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{7}{3}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  8. [latex]6.4[\/latex] to [latex]0.8[\/latex]<\/li>\n
                                  9. [latex]0.56[\/latex] to [latex]2.8[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{1}{5}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  10. [latex]1.26[\/latex] to [latex]4.2[\/latex]<\/li>\n
                                  11. [latex]1\\Large\\frac{2}{3}[\/latex] to [latex]2\\Large\\frac{5}{6}[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{10}{17}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  12. [latex]1\\Large\\frac{3}{4}[\/latex] to [latex]2\\Large\\frac{5}{8}[\/latex]<\/li>\n
                                  13. [latex]4\\Large\\frac{1}{6}[\/latex] to [latex]3\\Large\\frac{1}{3}[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{5}{4}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  14. [latex]5\\Large\\frac{3}{5}[\/latex] to [latex]3\\Large\\frac{3}{5}[\/latex]<\/li>\n
                                  15. [latex]{$18}[\/latex] to [latex]{$63}[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{2}{7}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  16. [latex]{$16}[\/latex] to [latex]{$72}[\/latex]<\/li>\n
                                  17. [latex]{$1.21}[\/latex] to [latex]{$0.44}[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{11}{4}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  18. [latex]{$1.38}[\/latex] to [latex]{$0.69}[\/latex]<\/li>\n
                                  19. [latex]28[\/latex] ounces to [latex]84[\/latex] ounces\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{1}{3}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  20. [latex]32[\/latex] ounces to [latex]128[\/latex] ounces<\/li>\n
                                  21. [latex]12[\/latex] feet to [latex]46[\/latex] feet\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{6}{23}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  22. [latex]15[\/latex] feet to [latex]57[\/latex] feet<\/li>\n
                                  23. [latex]246[\/latex] milligrams to [latex]45[\/latex] milligrams\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{82}{15}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  24. [latex]304[\/latex] milligrams to [latex]48[\/latex] milligrams<\/li>\n
                                  25. total cholesterol of [latex]175[\/latex] to HDL cholesterol of [latex]45[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{35}{9}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  26. total cholesterol of [latex]215[\/latex] to HDL cholesterol of [latex]55[\/latex]<\/li>\n
                                  27. [latex]27[\/latex] inches to [latex]1[\/latex] foot\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{9}{4}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  28. [latex]28[\/latex] inches to [latex]1[\/latex] foot<\/li>\n
                                  29. [latex]28[\/latex] to [latex]40[\/latex][latex]56[\/latex] to [latex]32[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{7}{4}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  30. [latex]3.5[\/latex] to [latex]0.5[\/latex]<\/li>\n
                                  31. [latex]1.2[\/latex] to [latex]1.8[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{2}{3}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  32. [latex]1\\Large\\frac{3}{4}\\normalsize\\text{to}1\\Large\\frac{5}{8}[\/latex]<\/li>\n
                                  33. [latex]2\\Large\\frac{1}{3}\\normalsize\\text{to}5\\Large\\frac{1}{4}[\/latex]\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{4}{9}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                  34. [latex]64[\/latex] ounces to [latex]30[\/latex] ounces<\/li>\n
                                  35. [latex]28[\/latex] inches to [latex]3[\/latex] feet\n
                                    Show Solution<\/span><\/p>\n
                                    [latex]\\Large\\frac{7}{9}[\/latex]<\/div>\n<\/div>\n<\/li>\n<\/ol>\n

                                    Write a Rate as a Fraction<\/strong><\/h3>\n

                                    In the following exercises, write each rate as a fraction.<\/p>\n

                                      \n
                                    1. [latex]140[\/latex] calories per [latex]12[\/latex] ounces\n
                                      Show Solution<\/span><\/p>\n
                                      [latex]\\Large\\frac{\\text{35 calories}}{\\text{3 ounces}}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                    2. [latex]180[\/latex] calories per [latex]16[\/latex] ounces<\/li>\n
                                    3. [latex]8.2[\/latex] pounds per [latex]3[\/latex] square inches\n
                                      Show Solution<\/span><\/p>\n
                                      [latex]\\Large\\frac{\\text{41 lbs}}{\\text{15 sq. in}.}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                    4. [latex]9.5[\/latex] pounds per [latex]4[\/latex] square inches<\/li>\n
                                    5. [latex]488[\/latex] miles in [latex]7[\/latex] hours\n
                                      Show Solution<\/span><\/p>\n
                                      [latex]\\Large\\frac{\\text{488 miles}}{\\text{7 hours}}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                    6. [latex]527[\/latex] miles in [latex]9[\/latex] hours<\/li>\n
                                    7. [latex]{$595}[\/latex] for [latex]40[\/latex] hours\n
                                      Show Solution<\/span><\/p>\n
                                      [latex]\\Large\\frac{{$119}}{{8 hours}}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                    8. [latex]{$798}[\/latex] for [latex]40[\/latex] hours<\/li>\n
                                    9. [latex]180[\/latex] calories per [latex]8[\/latex] ounces<\/li>\n
                                    10. [latex]90[\/latex] pounds per [latex]7.5[\/latex] square inches\n
                                      Show Solution<\/span><\/p>\n
                                      [latex]\\Large\\frac{90\\text{pounds}}{7.5\\text{square inches}}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                    11. [latex]126[\/latex] miles in [latex]4[\/latex] hours<\/li>\n
                                    12. [latex]{$612.50}[\/latex] for [latex]35[\/latex] hours\n
                                      Show Solution<\/span><\/p>\n
                                      [latex]\\Large\\frac{$612.50}{35\\text{hours}}[\/latex]<\/div>\n<\/div>\n<\/li>\n<\/ol>\n

                                      Find Unit Rates<\/strong><\/h3>\n

                                      Exercise 1<\/h4>\n

                                      In the following exercises, find the unit rate. Round to two decimal places, if necessary.<\/p>\n

                                        \n
                                      1. \n
                                          \n
                                        1. [latex]140[\/latex] calories per [latex]12[\/latex] ounces\n
                                          Show Solution<\/span><\/p>\n
                                          11.67 calories\/ounce<\/div>\n<\/div>\n<\/li>\n
                                        2. [latex]180[\/latex] calories per [latex]16[\/latex] ounces<\/li>\n
                                        3. [latex]8.2[\/latex] pounds per [latex]3[\/latex] square inches\n
                                          Show Solution<\/span><\/p>\n
                                          2.73 lbs.\/sq. in.<\/div>\n<\/div>\n<\/li>\n
                                        4. [latex]9.5[\/latex] pounds per [latex]4[\/latex] square inches<\/li>\n
                                        5. [latex]488[\/latex] miles in [latex]7[\/latex] hours\n
                                          Show Solution<\/span><\/p>\n
                                          69.71 mph<\/div>\n<\/div>\n<\/li>\n
                                        6. [latex]527[\/latex] miles in [latex]9[\/latex] hours<\/li>\n
                                        7. [latex]{$595}[\/latex] for [latex]40[\/latex] hours\n
                                          Show Solution<\/span><\/p>\n
                                          $14.88\/hour<\/div>\n<\/div>\n<\/li>\n
                                        8. [latex]{$798}[\/latex] for [latex]40[\/latex] hours<\/li>\n
                                        9. [latex]576[\/latex] miles on [latex]18[\/latex] gallons of gas\n
                                          Show Solution<\/span><\/p>\n
                                          32 mpg<\/div>\n<\/div>\n<\/li>\n
                                        10. [latex]435[\/latex] miles on [latex]15[\/latex] gallons of gas<\/li>\n
                                        11. [latex]43[\/latex] pounds in [latex]16[\/latex] weeks\n
                                          Show Solution<\/span><\/p>\n
                                          2.69 lbs.\/week<\/div>\n<\/div>\n<\/li>\n
                                        12. [latex]57[\/latex] pounds in [latex]24[\/latex] weeks<\/li>\n
                                        13. [latex]46[\/latex] beats in [latex]0.5[\/latex] minute\n
                                          Show Solution<\/span><\/p>\n
                                          92 beats\/minute<\/div>\n<\/div>\n<\/li>\n
                                        14. [latex]54[\/latex] beats in [latex]0.5[\/latex] minute<\/li>\n
                                        15. [latex]180[\/latex] calories per [latex]8[\/latex] ounces<\/li>\n
                                        16. [latex]90[\/latex] pounds per [latex]7.5[\/latex] square inches\n
                                          Show Solution<\/span><\/p>\n
                                          12 pounds\/sq.in.<\/div>\n<\/div>\n<\/li>\n
                                        17. [latex]126[\/latex] miles in [latex]4[\/latex] hours<\/li>\n
                                        18. [latex]{$612.50}[\/latex] for [latex]35[\/latex] hours\n
                                          Show Solution<\/span><\/p>\n
                                          $17.50\/hour<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                                          Exercise 2<\/h4>\n
                                            \n
                                          1. \n
                                              \n
                                            1. The bindery at a printing plant assembles [latex]96,000[\/latex] magazines in [latex]12[\/latex] hours. How many magazines are assembled in one hour?\n
                                              Show Solution<\/span><\/p>\n
                                              8,000<\/div>\n<\/div>\n<\/li>\n
                                            2. The pressroom at a printing plant prints [latex]540,000[\/latex] sections in [latex]12[\/latex] hours. How many sections are printed per hour?<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                                              Find Unit Price<\/strong><\/h3>\n

                                              Exercise 1<\/h4>\n

                                              In the following exercises, find the unit price. Round to the nearest cent.<\/p>\n

                                                \n
                                              1. \n
                                                  \n
                                                1. Soap bars at [latex]8[\/latex] for [latex]{$8.69}[\/latex]\n
                                                  Show Solution<\/span><\/p>\n
                                                  $1.09\/bar<\/div>\n<\/div>\n<\/li>\n
                                                2. Soap bars at [latex]4[\/latex] for [latex]{$3.39}[\/latex]<\/li>\n
                                                3. Women\u2019s sports socks at [latex]6[\/latex] pairs for [latex]{$7.99}[\/latex]\n
                                                  Show Solution<\/span><\/p>\n
                                                  $1.33\/pair<\/div>\n<\/div>\n<\/li>\n
                                                4. Men\u2019s dress socks at [latex]3[\/latex] pairs for [latex]{$8.49}[\/latex]<\/li>\n
                                                5. Snack packs of cookies at [latex]12[\/latex] for [latex]{$5.79}[\/latex]\n
                                                  Show Solution<\/span><\/p>\n
                                                  $0.48\/pack<\/div>\n<\/div>\n<\/li>\n
                                                6. Granola bars at [latex]5[\/latex] for [latex]{$3.69}[\/latex]<\/li>\n
                                                7. CD-RW discs at [latex]25[\/latex] for [latex]{$14.99}[\/latex]\n
                                                  Show Solution<\/span><\/p>\n
                                                  $0.60\/disc<\/div>\n<\/div>\n<\/li>\n
                                                8. CDs at [latex]50[\/latex] for [latex]{$4.49}[\/latex]<\/li>\n
                                                9. t-shirts: [latex]3[\/latex] for [latex]{$8.97}[\/latex]<\/li>\n
                                                10. Highlighters: [latex]6[\/latex] for [latex]{$2.52}[\/latex]\n
                                                  Show Solution<\/span><\/p>\n
                                                  $0.42<\/div>\n<\/div>\n<\/li>\n
                                                11. An office supply store sells a box of pens for [latex]{$11}[\/latex]. The box contains [latex]12[\/latex] pens. How much does each pen cost?<\/li>\n
                                                12. Anna bought a pack of [latex]8[\/latex] kitchen towels for [latex]{$13.20}[\/latex]. How much did each towel cost? Round to the nearest cent if necessary.\n
                                                  Show Solution<\/span><\/p>\n
                                                  $1.65<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                                                  Exercise 2<\/h4>\n
                                                    \n
                                                  1. \n
                                                      \n
                                                    1. The grocery store has a special on macaroni and cheese. The price is [latex]{$3.87}[\/latex] for [latex]3[\/latex] boxes. How much does each box cost?\n
                                                      Show Solution<\/span><\/p>\n
                                                      $1.29\/box<\/div>\n<\/div>\n<\/li>\n
                                                    2. The pet store has a special on cat food. The price is [latex]{$4.32}[\/latex] for [latex]12[\/latex] cans. How much does each can cost?<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                                                      Exercise 3<\/h4>\n

                                                      In the following exercises, find each unit price and then identify the better buy. Round to three decimal places.<\/p>\n

                                                        \n
                                                      1. \n
                                                          \n
                                                        1. Mouthwash, [latex]{50.7-ounce}[\/latex] size for [latex]{$6.99}[\/latex] or [latex]{33.8-ounce}[\/latex] size for [latex]{$4.79}[\/latex]\n
                                                          Show Solution<\/span><\/p>\n
                                                          The 50.7-ounce size costs $0.138 per ounce. The 33.8-ounce size costs $0.142 per ounce. The 50.7-ounce size is the better buy.<\/div>\n<\/div>\n<\/li>\n
                                                        2. Toothpaste, [latex]6[\/latex] ounce size for [latex]{$3.19}[\/latex] or [latex]7.8-ounce[\/latex] size for [latex]{$5.19}[\/latex]<\/li>\n
                                                        3. Breakfast cereal, [latex]18[\/latex] ounces for [latex]{$3.99}[\/latex] or [latex]14[\/latex] ounces for [latex]{$3.29}[\/latex]\n
                                                          Show Solution<\/span><\/p>\n
                                                          The 18-ounce size costs $0.222 per ounce. The 14-ounce size costs $0.235 per ounce. The 18-ounce size is a better buy.<\/div>\n<\/div>\n<\/li>\n
                                                        4. Breakfast Cereal, [latex]10.7[\/latex] ounces for [latex]{$2.69}[\/latex] or [latex]14.8[\/latex] ounces for [latex]{$3.69}[\/latex]<\/li>\n
                                                        5. Ketchup, [latex]{40-ounce}[\/latex] regular bottle for [latex]{$2.99}[\/latex] or [latex]{64-ounce}[\/latex] squeeze bottle for [latex]{$4.39}[\/latex]\n
                                                          Show Solution<\/span><\/p>\n
                                                          The regular bottle costs $0.075 per ounce. The squeeze bottle costs $0.069 per ounce. The squeeze bottle is a better buy.<\/div>\n<\/div>\n<\/li>\n
                                                        6. Mayonnaise [latex]{15-ounce}[\/latex] regular bottle for [latex]{$3.49}[\/latex] or [latex]{22-ounce}[\/latex] squeeze bottle for [latex]{$4.99}[\/latex]<\/li>\n
                                                        7. Cheese [latex]{$6.49}[\/latex] for [latex]1[\/latex] lb. block or [latex]{$3.39}[\/latex] for [latex]\\Large\\frac{1}{2}[\/latex] lb. block\n
                                                          Show Solution<\/span><\/p>\n
                                                          The half-pound block costs $6.78\/lb, so the 1-lb. block is a better buy.<\/div>\n<\/div>\n<\/li>\n
                                                        8. Candy [latex]{$10.99}[\/latex] for a [latex]1[\/latex] lb. bag or [latex]{$2.89}[\/latex] for [latex]\\Large\\frac{1}{4}[\/latex] lb. of loose candy<\/li>\n
                                                        9. Shampoo: [latex]12[\/latex] ounces for [latex]{$4.29}[\/latex] or [latex]22[\/latex] ounces for [latex]{$7.29}?[\/latex]<\/li>\n
                                                        10. Vitamins: [latex]60[\/latex] tablets for [latex]{$6.49}[\/latex] or [latex]100[\/latex] for [latex]{$11.99}?[\/latex]\n
                                                          Show Solution<\/span><\/p>\n
                                                          $0.11, $0.12; 60 tablets for $6.49<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                                                          Translate Phrases to Expressions with Fractions<\/strong><\/h3>\n

                                                          In the following exercises, translate the English phrase into an algebraic expression.<\/p>\n

                                                            \n
                                                          1. \n
                                                              \n
                                                            1. [latex]793[\/latex] miles per [latex]p[\/latex] hours\n
                                                              Show Solution<\/span><\/p>\n
                                                              [latex]\\Large\\frac{\\text{793 miles}}{p \\text{hours}}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                            2. [latex]78[\/latex] feet per [latex]r[\/latex] seconds<\/li>\n
                                                            3. [latex]{$3}[\/latex] for [latex]0.5[\/latex] lbs.\n
                                                              Show Solution<\/span><\/p>\n
                                                              [latex]\\Large\\frac{{$3}}{{0.5 lbs}.}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                            4. [latex]j[\/latex] beats in [latex]0.5[\/latex] minutes<\/li>\n
                                                            5. [latex]105[\/latex] calories in [latex]x[\/latex] ounces\n
                                                              Show Solution<\/span><\/p>\n
                                                              [latex]\\Large\\frac{\\text{105 calories}} {x \\text {ounces}}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                            6. [latex]400[\/latex] minutes for [latex]m[\/latex] dollars<\/li>\n
                                                            7. the ratio of [latex]y[\/latex] and [latex]5x[\/latex]\n
                                                              Show Solution<\/span><\/p>\n
                                                              [latex]\\Large\\frac{y}{5x}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                            8. the ratio of [latex]12x[\/latex] and [latex]y[\/latex]<\/li>\n
                                                            9. [latex]535[\/latex] miles per [latex]h\\text{hours}[\/latex]<\/li>\n
                                                            10. [latex]a[\/latex] adults to [latex]45[\/latex] children\n
                                                              Show Solution<\/span><\/p>\n
                                                              [latex]\\Large\\frac{a\\text{adults}}{45\\text{children}}[\/latex]<\/div>\n<\/div>\n<\/li>\n
                                                            11. the ratio of [latex]4y[\/latex] and the difference of [latex]x[\/latex] and [latex]10[\/latex]<\/li>\n
                                                            12. the ratio of [latex]19[\/latex] and the sum of [latex]3[\/latex] and [latex]n[\/latex]\n
                                                              Show Solution<\/span><\/p>\n
                                                              [latex]\\Large\\frac{19}{3+n}[\/latex]<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                                                              Everyday Math<\/h3>\n
                                                              \n

                                                              Everyday math<\/h3>\n
                                                                \n
                                                              1. One elementary school in Ohio has [latex]684[\/latex] students and [latex]45[\/latex] teachers. Write the student-to-teacher ratio as a unit rate.\n
                                                                Show Solution<\/span><\/p>\n
                                                                15.2 students per teacher<\/div>\n<\/div>\n<\/li>\n
                                                              2. The average American produces about [latex]1,600[\/latex] pounds of paper trash per year (365 days). How many pounds of paper trash does the average American produce each day? (Round to the nearest tenth of a pound.)<\/li>\n
                                                              3. A popular fast food burger weighs [latex]7.5[\/latex] ounces and contains [latex]540[\/latex] calories, [latex]29[\/latex] grams of fat, [latex]43[\/latex] grams of carbohydrates, and [latex]25[\/latex] grams of protein. Find the unit rate of \u24d0 calories per ounce \u24d1 grams of fat per ounce \u24d2 grams of carbohydrates per ounce \u24d3 grams of protein per ounce. Round to two decimal places.\n
                                                                Show Solution<\/span><\/p>\n
                                                                \u24d0 72 calories\/ounce \u24d1 3.87 grams of fat\/ounce \u24d2 5.73 grams carbs\/once \u24d3 3.33 grams protein\/ounce<\/div>\n<\/div>\n<\/li>\n
                                                              4. A [latex]16-ounce[\/latex] chocolate mocha coffee with whipped cream contains [latex]470[\/latex] calories, [latex]18[\/latex] grams of fat, [latex]63[\/latex] grams of carbohydrates, and [latex]15[\/latex] grams of protein. Find the unit rate of \u24d0 calories per ounce \u24d1 grams of fat per ounce \u24d2 grams of carbohydrates per ounce \u24d3 grams of protein per ounce.<\/li>\n<\/ol>\n<\/div>\n

                                                                 <\/p>\n

                                                                \n

                                                                Writing Exercises<\/h3>\n
                                                                  \n
                                                                1. Would you prefer the ratio of your income to your friend\u2019s income to be [latex]\\text{3\/1}[\/latex] or [latex]1\/3?[\/latex] Explain your reasoning.
                                                                  \nAnswers will vary.<\/li>\n
                                                                2. The parking lot at the airport charges [latex]{$0.75}[\/latex] for every [latex]15[\/latex] minutes. \u24d0 How much does it cost to park for [latex]1[\/latex] hour? \u24d1 Explain how you got your answer to part \u24d0. Was your reasoning based on the unit cost or did you use another method?<\/li>\n
                                                                3. Kathryn ate a [latex]4-ounce[\/latex] cup of frozen yogurt and then went for a swim. The frozen yogurt had [latex]115[\/latex] calories. Swimming burns [latex]422[\/latex] calories per hour. For how many minutes should Kathryn swim to burn off the calories in the frozen yogurt? Explain your reasoning.
                                                                  \nAnswers will vary.<\/li>\n
                                                                4. Mollie had a [latex]16-ounce[\/latex] cappuccino at her neighborhood coffee shop. The cappuccino had [latex]110[\/latex] calories. If Mollie walks for one hour, she burns [latex]246[\/latex] calories. For how many minutes must Mollie walk to burn off the calories in the cappuccino? Explain your reasoning.<\/li>\n<\/ol>\n<\/div>\n

                                                                  Contribute!<\/h2>\n
                                                                  Did you have an idea for improving this content? We\u2019d love your input.<\/div>\n

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