Question
A mixture consists of 50% water and 50% milk. 10 liters
of the mixture is replaced with the same quantity of milk. If the final ratio of milk to water is 6:4, find the initial quantity of the mixture.Solution
ATQ, Initial water in the mixture after removing 10 liters is '4x' liters. Total mixture after removing 10 liters = 4x ÷ 0.5 = '8x' liters. Milk in the mixture after removing = 8x - 4x = '4x' liters. Given, {(4x+10)/4x}=6/4 = x = 5 Total after removing 5 liters = 8 ×5= 40 liters. Initial quantity = 40 + 5 = 45 liters
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