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0580/32 Feb/Mar 2021, Question 7: Profit and Loss

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 11 marks

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The question, in short

Prakash buys 45 flowers in bunches of 5 at a 3-for-2 offer; find the cost, the red:orange:yellow ratio, and work with expressions for flowers given to relatives.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 3 marks

Using the 3-for-2 bunch offer at $2.68 per bunch, work out the total Prakash pays for 45 flowers.

  1. 145 ÷ 5 = 9 bunches
  2. 29 bunches = 3 lots of 3 bunches, paying for 2 bunches each time
  3. 33 × 2 = 6 bunches paid for
  4. 46 × 2.68 = $16.08

Answer16.08

Part (b) · 2 marks

With 15 red and 18 orange flowers, find the red:orange:yellow ratio in simplest form.

  1. 1Yellow = 45 − 15 − 18 = 12
  2. 215 : 18 : 12
  3. 3Divide by 3: 5 : 6 : 4

Answer5:6:4

Part (ci) · 3 marks

Using x for grandmother, 8 more for mother, 6 fewer for cousin, and double the cousin for sister, show 5x − 10 = 45.

  1. 1Grandmother x, mother x + 8, cousin x − 6, sister 2(x − 6)
  2. 2x + x + 8 + x − 6 + 2(x − 6) = 45
  3. 3x + x + 8 + x − 6 + 2x − 12 = 45
  4. 45x − 10 = 45

Answerx + x + 8 + x − 6 + 2(x − 6) = 45 leading to 5x − 10 = 45 with no errors seen

Part (cii) · 2 marks

Solve the equation 5x − 10 = 45 for x.

  1. 15x = 45 + 10 = 55
  2. 2x = 11

Answer11

Part (ciii) · 1 mark

Find how many flowers Prakash gives his cousin.

  1. 15x − 10 = 45, so 5x = 55 and x = 11
  2. 2Cousin gets 6 fewer than grandmother: x − 6
  3. 311 − 6 = 5

Answer5

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Also searched as: 0580/32/F/M/21 · 0580_m21_qp_32 · 0580 m21 32 · question 7.
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