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. Yes


    2. No


    3. Yes


    4. No


    1. [latex] \displaystyle{x = 3} [/latex]


    2. [latex] \displaystyle{x = 36} [/latex]


    3. [latex] \displaystyle{\frac{5}{3}} [/latex]


    4. [latex] \displaystyle{x = 10} [/latex]


    1. [latex] \displaystyle{x = 12\frac{20}{47}} [/latex]


    2. [latex] \displaystyle{x = 3\frac{411}{475}} [/latex]


    3. [latex] \displaystyle{x = \frac{11}{18}} [/latex]


    4. [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. B’s investment: $20,000

      C’s investment: $15,000


    2. B’s profit: $24,000, C’s profit: $18,000


    3. A’s profit: $56,250

      B’s profit: $45,000

      C’s profit: $33,750


  1. A’s investment: $15,000

    B’s investment: $18,000

    C’s investment: $12,000

  1. 29:37:53

  1. $496

  1. $881.67

  1. $1,730.77

  1. $45,000

    1. 26 students


    2. 20 girls : 13 boys


  1. 360 tigers

Review Exercises 5

    1. Equivalent


    2. Not equivalent


    3. Equivalent


    4. Not equivalent


  1. 1 : 20

    1. 18 km/hr


    2. 27 km


  1. Gina by $0.75per hour

  1. 480 grams for $3.75

    1. $2.66/kg


    2. $2.50/kg


    3. $2.40/kg


    4. Best offer: c


  1. 9 : 15 : 5

  1. 140 computers

    1. 6


    2. 18


    3. 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

  1. 17 : 20 : 23

  1. Anton: $1,200; Cheryl: $2,250; Ellen: $1,800

  1. £933.30

  1. €886.84

  1. C$3,972.65

Self-Test Exercises 5

  1. 360 gram for $4.89


  2. 74.07 km/hr


  3. 9 hours 20 minutes


    1. 12


    2. 40.5


    1. 7.5


    2. [latex] \displaystyle{7\frac{1}{5}} [/latex]


  6. 212.5 km


  7. $2,668.90


  8. 22.5L


  9. Best offer: c


  10. 6 : 10 : 15


  11. $2,700


  12. $208.33


  13. A: $1,500; B: $2,500; C: $2,000


  14. 11 : 21


  15. Alice: $18,000; Bill: $12,000; Carol: $28,800


  16. C$2,979.49


  17. 0.40%