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A mixture contains milk and water. Water is 20% of the mixture. Follow the steps in the given order: I. \(b\) liters of water are added, and the percentage of water in the mixture becomes 25%. II. \(b\) liters of mixture is removed. III. \(1.5b\) liters of milk are added. Find the final quantity of the mixture after completing these three steps.

1. 16.5b
2. 18.5b
3. 17.5b
4. 12.5b
5. 15.5b

Correct answer: 16.5b

Solution

Let the initial quantity be \(x\). Since water is 20% initially and becomes 25% after adding \(b\) liters of water, we can solve for \(x\) in terms of \(b\). Then apply the removal of \(b\) liters and addition of \(1.5b\) liters of milk to get the final quantity.

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