0580/42 May/Jun 2025, Question 10: Constructing Equations
Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 3 marks
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The question, in short
A group of 12 adults and 9 children pay $277.50 in total; adult tickets cost $n and child tickets $(n − 10). Find the adult ticket price.
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Solution · 3 marks
- 112n + 9(n − 10) = 277.50
- 212n + 9n − 90 = 277.50
- 321n = 367.50
- 4n = 367.50 ÷ 21 = $17.50
Answer17.50
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