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Q: 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 How much of the mixture must be withdrawn and water substituted in order that the resulting mixture may be half milk and half water?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. ½ part B. 1/3 part
C. ¼ part D. ¾ part

Answer and Explanation

Answer:1/3 part

Explanation:
The mixture contains ¾ part milk and ¼ part water
Let quantity of mixture withdrawn be x
Quantity of milk in the new mixture = ¾ - 3x/4
Quantity of water in the new mixture = ¼ - x/4 + x
¾ - 3x/4 = ¼ - x/4 + x =>x=1/3
1/3 part of the mixture should be withdrawn

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