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Two containers of the same volume are 35% and 60% full of water respectively. They are then completely filled with milk. After mixing the contents of the larger vessel, what percentage of the mixture is milk?

1. 47.5%
2. 50%
3. 52.5%
4. 55%

Correct answer: 52.5%

Solution

Each container has the same volume. After filling with milk, the first contains 65% milk and the second contains 40% milk. Since the volumes are equal, the mixture in the larger vessel has milk percentage equal to the average of these two percentages: $(65+40)/2=52.5\%$.

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