4MA1/1H Nov 2021, Question 6: Simultaneous Equations by Elimination
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks
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The question, in short
Given two purchases of apples and pears with their total costs, find the amount Michael pays for 10 apples and 10 pears, showing working.
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Solution · 5 marks
- 15a + 3p = 1.96 and 3a + 2p = 1.22
- 2Multiply by 2 and by 3: 10a + 6p = 3.92 and 9a + 6p = 3.66
- 3Subtract: a = 0.26
- 43 × 0.26 + 2p = 1.22, so 2p = 0.44 and p = 0.22
- 510 apples and 10 pears: 10 × (0.26 + 0.22) = $4.80
Answer4.80
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