4MA1/2H Jun 2022, Question 8: Dividing in a Given Ratio
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 5 marks
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The question, in short
Behnaz makes 300 cards in the ratio 7:5:3 for birthday, anniversary and congratulations. Given 2/5 of birthday and 36% of anniversary cards have numbers, find the fraction of all 300 cards with numbers, in simplest form.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 5 marks
- 1Share 300 in 7 : 5 : 3: one part = 300 ÷ 15 = 20
- 2Birthday cards 7 × 20 = 140; anniversary cards 5 × 20 = 100
- 3With numbers: 2/5 × 140 = 56 and 36% of 100 = 36
- 456 + 36 = 92, so the fraction is 92/300 = 23/75
Answer23/75
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