Question
A and B are solutions of acid and water. The ratios of
water and acid in A and B are 4:5 and 1:2, respectively. If x litres of A is mixed with y Litres of B, then the ratio of water and acid in the mixture becomes 8:13. What is x:y ?Solution
Taking the ratio of water and acid in A and B in the equal unit, Ratio of water and acid in A = 4 ∶ 5 Ratio of water and acid in B = 3 ∶ 6 Ratio of water and acid in the mixture = (4x + 3y)/(5x + 6y) ⇒ (4x + 3y)/(5x + 6y) = 8/13 ⇒ 52x + 39y = 40x + 48y ⇒ 12x = 9y ⇒ x/y = 9/12 ⇒ x/y = 3/4 ∴ The ratio of x and y is 3 ∶ 4
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