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In a mixture of milk and water, the proportion of milk is 60% by weight. If 20 g of the mixture is taken out from 80 g of the mixture, and 6 g of water is added to the remaining mixture, find the ratio of milk to water in the new mixture.

1. 8:7
2. 7:6
3. 6:5
4. 5:4

Correct answer: 6:5

Solution

Initially, milk = 60% of 80 = 48 g and water = 32 g. Removing 20 g of mixture removes 12 g milk and 8 g water, leaving 36 g milk and 24 g water; adding 6 g water makes water = 30 g. So the ratio of milk to water is 36:30 = 6:5.

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