In a mixture of 80 litres of a liquid and water, 25% of the mixture is the liquid. How much water should be added to the mixture so that the liquid becomes 20% of the mixture?

In the initial 80 litres of the mixture, the liquid accounts for 25%, which equals 20 litres, meaning there are 60 litres of water. Let x be the amount of water to add, so the new total volume is 80 plus x litres. We set the liquid's new percentage equation as 20 divided by (80 plus x) equals 20%, which simplifies to 20 equals 16 plus 0.2x. Solving for x gives 0.2x equals 4, meaning 20 litres of water must be added.

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