A vessel is full of milk. 9 litres of it is drawn out and replaced by water, and the same operation is carried out once more. The vessel now holds milk and water in the ratio 16 : 9. The capacity of the vessel (in litres) is:

Question

Accepted Answer

45. After two replacements the milk fraction is (1 − 9/C)². This must equal 16/(16 + 9) = 16/25, so 1 − 9/C = 4/5 → 9/C = 1/5 → C = 45 litres. (Check: 45 → 36 litres of milk → 28.8 litres of milk, and 28.8 : 16.2 = 16 : 9.)

A vessel is full of milk. 9 litres of it is drawn out and replaced by water, and the same operation is carried out once more. The vessel now holds milk and water in the ratio 16 : 9. The capacity of the vessel (in litres) is:

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