the mixture of milk and water is in the ratio of 3:1 how much mixture must be withdraw and water replaced in order to get resulting mixture half milk and half water

Asked by Sanjay | 28th Nov, 2013, 08:04: PM

Expert Answer:

Suppose initially there is 4 liters of mixture.
Let x liters of this liquid be replaced with water.
Quantity of water in new mixture = 1 - x/4 + x
Quantity of milk in new mixture = 3 - 3x/4
 
According to the given information:
1 - x/4 + x = 3 - 3x/4
- x/4 + x + 3x/4 = 3 - 1
x = 4/3
 
Thus, part of the mixture replaced = 4/3 x 1/4 = 1/3

Answered by  | 28th Nov, 2013, 10:28: PM

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