Question
In a solution, the ratio of milk to water is 4:5. If 6
litres of milk and 12 litres of water are added, the new ratio becomes 5:7. What was the original quantity of the solution?Solution
ATQ,
Let initial milk = 4y, water = 5y
Then, (4y + 6):(5y + 12) = 5:7
⇒ 7(4y + 6) = 5(5y + 12)
⇒ 28y + 42 = 25y + 60
⇒ 3y = 18 ⇒ y = 6
Initial quantity = 4y + 5y = 9y = 9 × 6 = 54 litres
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