Question
A mixture initially contains milk and water in the ratio
3 : 2. After adding 16 litres of milk and 16 litres of water, the ratio of milk to water becomes 10 : 7. What was the original quantity of the mixture?Solution
Let the amount of milk and water in mixture initially be ‘3x’ litres and ‘2x’ litres respectively.
According to question,
(3x + 16)/(2x + 16) = 10/7
21x + 112 = 20x + 160
21x – 20x = 160 – 112
x = 48
So, the initial quantity of mixture = 48 × 2 + 48 × 3 = 240 litres
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