Question
In x litres of a solution of acid and water, acid is
62.5%. When 12 litres of acid is added to the solution, the ratio of acid and water in the resulting solution becomes 13 : 7. What is the value of x?Solution
The acid in the solution = 62.5% of x (5/8) x The water in the solution = (3/8)x According to the question [(5x/8) + 12]/(3x/8) = 13/7 [5x + 96]/3x = 13/7 35x + 672 = 39x 672 = 39x - 35x 672 = 4x x = 168 liter
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