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A mixture contains 60 litres of pure milk. 10 litres of milk are taken out, 25 litres of water are added, and then 60% of the mixture is taken out. Another mixture of 40 litres contains 60% milk and the rest syrup. If the two mixtures are mixed, find the final ratio of milk, water, and syrup.

1. 5:20:10
2. 11:12:13
3. 6:01:25
4. 22:05:08

Correct answer: 22:05:08

Solution

After removing 10 litres of milk from 60 litres, 50 litres of milk remain. Adding 25 litres of water makes the mixture 50 milk and 25 water, total 75 litres. Removing 60% leaves 40% of each component: milk $=20$, water $=10$. The second mixture has 24 litres milk and 16 litres syrup. Combined totals are milk $44$, water $10$, syrup $16$, giving ratio $22:5:8$.

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