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In a mixture, the ratio of milk to water is 4:1. If 24 litres of water is added and the difference between milk and water in the final mixture becomes 84 litres, find the initial quantity of the mixture.

1. 144
2. 180
3. 72
4. 240

Correct answer: 180

Solution

Let initial milk = 4x and water = x, so total mixture = 5x. After adding 24 litres water, water becomes x + 24. The final difference is 4x - (x + 24) = 84, giving x = 36 and total mixture = 5x = 180 litres.

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