0580/11 Oct/Nov 2022, Question 23: Linear Inequalities
Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 5 marks
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The question, in short
Form simultaneous equations from two purchases costing $9.35 and $16.55, then solve to find the price of a tomato plant and a pepper plant, showing working.
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Solution · 5 marks
- 14t + 3p = 9.35 and 2t + 11p = 16.55
- 2Double the second: 4t + 22p = 33.10
- 3Subtract: 19p = 23.75, so p = 1.25
- 44t + 3.75 = 9.35, so 4t = 5.60, t = 1.40
- 5Tomato plant $1.40, pepper plant $1.25
AnswerTomato plant $1.40, Pepper plant $1.25
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