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0580/42 Feb/Mar 2021, Question 1: Everyday Money Problems

Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 7 marks

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The question, in short

Using given hourly rates for a painter, plumber and electrician, calculate charges, hours worked from amounts paid, and the ratio of amounts paid.

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Part (a) · 1 mark

Calculate the total amount paid to the painter for 7 hours at 35 per hour.

  1. 17 × 35 = $245

Answer245

Part (b) · 2 marks

Given a payment of 252, find how many hours the plumber worked at 40 plus 26.50 per hour.

  1. 140 + 26.50h = 252
  2. 226.50h = 212
  3. 3h = 212 ÷ 26.50 = 8 hours

Answer8

Part (c) · 2 marks

Given a payment of 224, find how many hours the electrician worked at 48 for first 2 hours then 32 per hour.

  1. 1First 2 hours: 2 × 48 = 96
  2. 2Remaining: 224 − 96 = 128, and 128 ÷ 32 = 4 hours
  3. 3Total = 2 + 4 = 6 hours

Answer6

Part (d) · 2 marks

Write the ratio of amounts paid to painter, plumber and electrician in lowest terms.

  1. 1Use the amounts from the earlier parts: $245, $252 and $224.
  2. 2Ratio painter : plumber : electrician = 245 : 252 : 224
  3. 3All three divide by 7: 35 : 36 : 32

Answer35 : 36 : 32

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