Question
In a mixture, the milk and water are in the ratio 9:2.
When 44 liters of the mixture is replaced with 20 liters of water, the ratio becomes 9:4. Find the initial amount of water.Solution
ATQ, ATQ, Let milk = 9x and water = 2x After removing 44 liters, Milk left = 9x - 44×(9/11) = 9x - 36 Water left = 2x - 44×(2/11) = 2x - 8 After adding 20 liters of water, (9x - 36) / (2x - 8 + 20) = 9 / 4 36x - 144 = 18x + 72 18x = 216 x = 12 Initial quantity of water = 2x = 24 liters
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