Answer Key – Chapter 6

Exercise 6.1

1. 1. [latex]0.75[/latex], [latex]\displaystyle{\frac{3}{4}}[/latex]
   2. [latex]30\%[/latex], [latex]\displaystyle{\frac{3}{10}}[/latex]
   3. [latex]25\%[/latex], [latex]0.25[/latex]

3. 1. [latex]0.05[/latex], [latex]\displaystyle{\frac{1}{20}}[/latex]
   2. [latex]20\%[/latex], [latex]\displaystyle{\frac{1}{5}}[/latex]
   3. [latex]60\%[/latex], [latex]0.60[/latex]

5. 1. [latex]1.5[/latex], [latex]\displaystyle{1\frac{1}{2}}[/latex]
   2. [latex]17.5\%[/latex], [latex]\displaystyle{\frac{7}{40}}[/latex]
   3. [latex]48\%[/latex], [latex]0.48[/latex]

7. 1. [latex]0.125[/latex], [latex]\displaystyle{\frac{1}{8}}[/latex]
   2. [latex]5\%[/latex], [latex]\displaystyle{\frac{1}{20}}[/latex]
   3. [latex]450\%[/latex], [latex]4.5[/latex]

9. 1. [latex]0.006[/latex], [latex]\displaystyle{\frac{3}{500}}[/latex]
   2. [latex]0.5\%[/latex], [latex]\displaystyle{\frac{1}{200}}[/latex]
   3. [latex]460\%[/latex], [latex]4.6[/latex]

11. 1. [latex]0.0005[/latex], [latex]\displaystyle{\frac{1}{2,000}}[/latex]
    2. [latex]0.25\%[/latex], [latex]\displaystyle{\frac{1}{400}}[/latex]
    3. [latex]112.5\%[/latex], [latex]1.125[/latex]

13. 1. [latex]0.0005[/latex], [latex]\displaystyle{\frac{1}{2,000}}[/latex]
    2. [latex]108\%[/latex], [latex]\displaystyle{1\frac{2}{25}}[/latex]
    3. [latex]5.\overline{45}\%[/latex], [latex]0.0\overline{54}[/latex]

15. 1. [latex]0.0175[/latex], [latex]\displaystyle{\frac{7}{400}}[/latex]
    2. [latex]202.5\%[/latex], [latex]\displaystyle{2\frac{1}{40}}[/latex]
    3. [latex]0.25\%[/latex], [latex]0.0025[/latex]

17. 1. [latex]0.065[/latex], [latex]\displaystyle{\frac{13}{200}}[/latex]
    2. [latex]250\%[/latex], [latex]\displaystyle{2\frac{1}{2}}[/latex]
    3. [latex]16\%[/latex], [latex]0.16[/latex]

19. 1. 70
    2. 100

21. 1. 0.19
    2. 0.5 km

23. 1. 52
    2. $53.33

25. 2

27. $16.50

29. $0.27

31. 7.5

33. 40%

35. 400%

37. 45.45%

39. 28%

41. 800

43. $186

45. 130

47. $2,200

49. $32.50

51. $25,000

53. 74%

55. $700,000

57. $315,723.08

59. 13%

61. $89,400

Review Exercises 6

1. 1. [latex]0.80[/latex], [latex]\displaystyle{\frac{4}{5}}[/latex]
   2. [latex]25\%[/latex], [latex]\displaystyle{\frac{1}{4}}[/latex]
   3. [latex]150\%[/latex], [latex]1.50[/latex]
   4. [latex]0.06\overline{3}[/latex], [latex]\displaystyle{\frac{19}{300}}[/latex]
   5. [latex]4.8\%[/latex], [latex]\displaystyle{\frac{6}{125}}[/latex]
   6. [latex]8\%[/latex], [latex]0.08[/latex]

3. 1. 36
   2. 20%
   3. $0.23

5. $460,000

7. 75%

9. $1,153,153.15

11. 1. 42,875
    2. 38,500,000

Self-Test Exercises 6

1. 1. [latex]0.106[/latex], [latex]\displaystyle{\frac{53}{500}}[/latex]
   2. [latex]225\%[/latex], [latex]\displaystyle{2\frac{1}{4}}[/latex]
   3. [latex]0.25\%[/latex], [latex]0.0025[/latex]
   4. [latex]0.005[/latex], [latex]\displaystyle{\frac{1}{200}}[/latex]
   5. [latex]0.2\%[/latex], [latex]\displaystyle{\frac{1}{500}}[/latex]
   6. [latex]26.5\%[/latex], [latex]0.265[/latex]

3. 1. 12.5%
   2. $337.5
   3. $500