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4MA1/2F Jun 2025, Question 23: Dividing in a Given Ratio

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 4 marks

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The question, in short

Share £240 between Pau, Sam and Tia in the ratio 3 : 4 : 5, then Sam and Tia each give £10 to Pau; find the new ratio in simplest form.

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

Solution · 4 marks

  1. 1One share = 240 ÷ (3 + 4 + 5) = 20
  2. 2Pau 60, Sam 80, Tia 100
  3. 3After giving: Pau 60 + 20 = 80, Sam 80 − 10 = 70, Tia 100 − 10 = 90
  4. 480 : 70 : 90 = 8 : 7 : 9

Answer8 : 7 : 9

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