Question
A solution contains acid and water in the ratio 2:3. After
adding 4 litres of acid and 3 litres of water, the ratio becomes 3:4. What was the initial quantity of the mixture?Solution
ATQ,
Let acid = 2y, water = 3y
(2y + 4):(3y + 3) = 3:4
⇒ 4(2y + 4) = 3(3y + 3)
⇒ 8y + 16 = 9y + 9
⇒ y = 7
Initial quantity = 2y + 3y = 5y = 5 × 7 = 35 litres
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