In a mixture, the ratio of milk to water is 7:2. If 9 liters of water is added, the ratio becomes 7:5. Find the original quantity of milk.
21 liters
Let milk = 7x litres and water = 2x litres.
After adding 9 litres of water: \(\frac{7x}{2x+9}=\frac{7}{5}\).
Cross-multiplying: 35x = 14x + 63 ⇒ 21x = 63 ⇒ x = 3.
Original milk = 7 × 3 = 21 litres.
Hence, the original quantity of milk is 21 liters.
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