Mixtures & Alligation · Question 27 · Hard
Mixtures & Alligation question 27
A cask contains 64 litres of grape juice. x litres are drawn out and replaced with water, and the process is repeated once more. The cask now contains 49 litres of juice. What is x?
- 7.5
- 8
- 15
- 9
Answer and explanation
Answer: B. 8
Explanation: Juice left = 64 × (1 − x/64)² = 49, so (1 − x/64)² = 49/64 and 1 − x/64 = 7/8. Hence x = 8 litres.
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