Mathematics
NULL
Medium
Question
8 litres are drawn from a full wine cask and replaced with water; this is done four times in all. Wine : water becomes 16 : 65. Find the original volume.
A
18 litres
B
24 litres
✓ Official correct answer
C
32 litres
D
42 litres
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A
18 litres
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B
24 litres
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C
32 litres
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D
42 litres
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Explanation
(1 − 8/x)⁴ = 16/81 ⇒ 1 − 8/x = 2/3 ⇒ x = 24 litres.