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A mixture contains milk and water in a ratio 5 : 9. When 5 liters of water is added the ratio changes to 5 : 11. Find the quantity of milk in the initial mixture.

A mixture contains milk and water in a ratio 5 : 9. When 5 liters of water is added the ratio changes to 5 : 11. Find the quantity of milk in the initial mixture. Correct Answer 12.5 liters

Let the quantities of milk and water be in terms of x. The initial quantity of milk and water = 5 : 9 = 5x : 9x The changed quantity of milk and water = 5 : 11 = 5x : 11x On adding 5 liters of water the quantity of water changed from 9x to 11x 11x – 9x = 2x 2x = 5 liters of water X = 2.5 The initial quantity of milk = 5x = 5 * 2.5 = 12.5 liters.

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