Question

A cask is filled with wine and water in the ratio of 5:3, if 24 litres of the mixtures be drawn off and the cask be filled with water, their ratio becomes 3:5. find the capacity of the cask.

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Answer 1

Explanation:

Let the quantity of the wine in the cask originally be x litres. 8 litres of wine is removed from it and replaced with water. This operation is done total 4 times. After 4 operation,

Wine : Water = 16 : 65 or Wine : Total = 16 : 81

[(x-8)/x]4 = 16/81

(x-8)/x = 2/3

3x - 24 = 2x

x = 24

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