0580/21 Oct/Nov 2025, Question 8: Constructing Equations
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 5 marks
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The question, in short
Form simultaneous equations from 3 oranges and 1 apple costing 51 cents, and 6 oranges and 5 apples costing 129 cents, then solve for t and w showing all working.
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Solution · 5 marks
- 13t + w = 51 and 6t + 5w = 129
- 2Double the first: 6t + 2w = 102
- 3Subtract: 3w = 129 − 102 = 27, so w = 9
- 43t + 9 = 51, so 3t = 42 and t = 14
- 5t = 14, w = 9
Answert = 14, w = 9
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