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A cup of milk contains 3 parts of pure milk and 1 part of water. How much of the mixture must be withdrawn and water substituted in order that the resulting mixture may be half milk and half water?

A.	Â½ part	B.	¹/3 part
C.	Â¼ part	D.	Â¾ part

Answer and Explanation

Answer:¹/3 part

Explanation:
The mixture contains Â¾ part milk and Â¼ part water
Let quantity of mixture withdrawn be x
Quantity of milk in the new mixture = Â¾ - 3x/4
Quantity of water in the new mixture = Â¼ - x/4 + x
Â¾ - 3x/4 = Â¼ - x/4 + x =>x=1/3
1/3 part of the mixture should be withdrawn

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