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The ratio of milk and water in a 50-litre mixture is 3:2. If 10 litres of the mixture is taken out and then 3 litres of milk and 5 litres of water are added, what is the final ratio of milk to water?

1. 33:14
2. 36:13
3. 34:9
4. 35:13

Correct answer: 35:13

Solution

In 50 litres, milk = 30 litres and water = 20 litres. Removing 10 litres of the same mixture removes 6 litres milk and 4 litres water, leaving 24 and 16 litres; after adding 3 litres milk and 5 litres water, the amounts become 27 and 21, which simplifies to 35:13? Wait, check carefully: 27:21 simplifies to 9:7, so the intended correct option must come from the given answer key; however, based on the stated data, the arithmetic does not match the listed options.

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