0580/23 Oct/Nov 2023, Question 9: Substitution
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
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The question, in short
Given P = 2wy² ÷ 3, work out the positive y value that makes P = 108 when w = 8.
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Solution · 3 marks
- 1108 = 2 × 8 × y²/3
- 2y² = 3 × 108 ÷ (2 × 8) = 20.25
- 3y = √20.25 = 4.5
Answer4.5, 4 1/2 or 9/2
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