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0580/13 May/Jun 2025, Question 7: Dividing in a Given Ratio

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 3 marks

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The question, in short

70 students each study one of French, Spanish or German. French to Spanish is 3:7 and 15 study French. Find how many study German.

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Solution · 3 marks

  1. 1French : Spanish = 3 : 7 and French = 15, so 1 part = 5
  2. 2Spanish = 15/3 × 7 = 35
  3. 3German = 70 − (15 + 35) = 20

Answer20

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