4MA1/1F Jan 2023, Question 20: Dividing in a Given Ratio
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks
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The question, in short
A box holds 280 sweets in three colours, with green to orange in ratio 2:3 and orange to yellow in ratio 1:5. Find the number of green sweets.
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Solution · 3 marks
- 1orange : yellow = 1 : 5, so scale up to match orange in green : orange = 2 : 3
- 2multiply orange : yellow by 3 → 3 : 15
- 3now green : orange : yellow = 2 : 3 : 15
- 4total parts = 2 + 3 + 15 = 20
- 5each part = 280 ÷ 20 = 14
- 6green sweets = 2 × 14 = 28
Answer28
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