Question
A 30 L solution contains 20% alcohol and the rest water.
How many litres of water must be added to make the solution 15% alcohol?Solution
ATQ, In 30 L solution, alcohol = 20% of 30 = 6 L Let x L of water be added. Total volume = 30 + x L Alcohol remains 6 L New concentration = 15% = 0.15 So, 6 / (30 + x) = 0.15 6 = 0.15(30 + x) 6 = 4.5 + 0.15x 6 − 4.5 = 0.15x 1.5 = 0.15x x = 1.5 / 0.15 = 10
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