Answer Key – Chapter 5

Exercise 5.1

    1. Not equivalent
    2. Equivalent
    3. Not equivalent
    4. Equivalent
    1. Equivalent
    2. Equivalent
    3. Not equivalent
    4. Equivalent
    1. (i) 3 : 8 : 5   (ii) 1 : 2.67 : 1.67
    2. (i) 7 : 2 : 5   (ii) 3.5 : 1 : 2.5
    3. (i) 9 : 20 : 40   (ii) 1 : 2.22 : 4.44
    1. (i) 10 : 3   (ii) 3.33 : 1
    2. (i) 36 : 5 : 9   (ii) 7.2 : 1 : 1.8
    3. (i) 3 : 15 : 20   (ii) 1 : 5 : 6.67
    1. 3 : 8
    2. 1 : 4
    3. 2 : 5
    1. 12 : 2 : 1 : 4
    2. 24 : 4 : 1 : 8
  1. 75 km/h
  1. 11 km/L
  1. 75 words/min
  1. 29 pages/min
  1. 2 kg of flour for $3.30
  1. 8 pencils for $2.88
  1. 0.8 litres of juice for $1.40
  1. 11:20
  1. 540 km/h
  1. A has a higher hourly rate
    1. Kate’s rate: $28/h; Susan’s rate: $27.75/h
    2. Kate’s rate is higher by $0.25 per hour.
  1. Mike pays $40; Sarah pays $50.
  1. Amy’s share: $2,500; Gary’s share: $4,000; Andrew’s share: $1,000.
  1. 30 cm, 16 cm, 20 cm
  1. Alex: $800, Brooks: $1,200.
    1. [latex]\displaystyle{\frac{4}{15}}[/latex]
    2. 5 : 6 : 4
    3. 25 red, 30 green, 20 blue
  1. $16,875
  1. 8 : 6 : 5

Exercise 5.2

  1. a. Yes
    b. No
    c. Yes
    d. No
  1. a. [latex]\displaystyle{x = 3}[/latex]
    b. [latex]\displaystyle{x = 36}[/latex]
    c. [latex]\displaystyle{\frac{5}{3}}[/latex]
    d. [latex]\displaystyle{x = 10}[/latex]
  1. a. [latex]\displaystyle{x = 12\frac{20}{47}}[/latex]
    b. [latex]\displaystyle{x = 3\frac{411}{475}}[/latex]
    c. [latex]\displaystyle{x = \frac{11}{18}}[/latex]
    d. [latex]\displaystyle{x = 2\frac{5}{8}}[/latex]
  1. 180 L
  1. $2,290.91
  1. 11.63 km
  1. GIC: $13,625, Fixed deposit: $8,175
  1. a. B’s investment: $20,000C’s investment: $15,000
    b. B’s profit: $24,000, C’s profit: $18,000

Review Exercises 5

  1. a. Equivalent
    b. Not equivalent
    c. Equivalent
    d. Not equivalent
  1. 1 : 20
  1. a. 18 km/hr
    b. 27 km
  1. Gina by $0.75per hour
  1. 480 grams for $3.75
  1. a. $2.66/kg
    b. $2.50/kg
    c. $2.40/kg
    d. Best offer: c
  1. 9 : 15 : 5
  1. a. 6
    b. 18
    c. 0.66
    1. $0.7
    2. $0.21
  1. $1,057.69
  1. $162.5
  1. $13,625
  1. Khan: $1,000; Thomas: $2,500

Self-Test Exercises 5

  1. 360 gram for $4.89
  2. 74.07 km/hr
  3. 9 hours 20 minutes
  1. a. 12
    b.40.5
  1. a. 7.5
    b. [latex]\displaystyle{7\frac{1}{5}}[/latex]
  1. 212.5 km
  2. $2,668.90
  3. 22.5L
  4. Best offer: c
  5. 6 : 10 : 15

Unless otherwise indicated, this chapter is an adaptation of the eTextbook Foundations of Mathematics (3rd ed.) by Thambyrajah Kugathasan, published by Vretta-Lyryx Inc., with permission. Adaptations include supplementing existing material and reordering chapters.

License

Icon for the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

Fundamentals of Business Math Copyright © 2023 by Lisa Koster and Tracey Chase is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

Share This Book