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4024/12 May/Jun 2022, Question 10: Dividing in a Given Ratio

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Combine the ratios red:blue = 3:8 and green:blue = 2:5 to find the fraction of all balls that are blue.

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

Solution · 3 marks

  1. 1red : blue = 3 : 8 = 15 : 40
  2. 2green : blue = 2 : 5 = 16 : 40
  3. 3red : blue : green = 15 : 40 : 16
  4. 4Total parts = 15 + 40 + 16 = 71
  5. 5Fraction blue = 40/71

Answer40/71

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