Question
The ratio of milk to water in a mixture is 6:1. 49 litres
of mixture is removed and 14 litres of water is added. In the resultant mixture, the quantity of milk is double the quantity of water. Find the quantity of water in the initial mixture.Solution
Let the quantity of the milk in the initial mixture = 6x litres
The quantity of the water in the initial mixture = x litres
The quantity of the milk in 49 litres of mixture = (49 / 7) × 6 = 42 litres
The quantity of the water in 49 litres of mixture = (49 / 7) × 1 = 7 litres
According to the question,
(6x – 42) = 2 × (x – 7 + 14)
6x – 42 = 2 × (x + 7)
6x – 42 = 2x + 14
4x = 56
x = 14
The quantity of the water in the initial mixture = 14 litres
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