Fifty litres of a mixture of milk and water contains 30 percent of water. This mixture is added to eighty litres of another mixture of milk and water that contains 20 percent of water. Then, how many litres of water should be added to the resulting mixture to obtain a final mixture that contains 25 percent of water?
Explanation:
Fifty litres of a mixture of milk and water contains 30 percent of water. ⇒ Quantity of milk = 70% of 50 = 35 liters ⇒ Quantity of water = 30% of 50 = 15 liters
Eighty litres of another mixture of milk and water that contains 20 percent of water ⇒ Quantity of milk = 80% of 80 = 64 liters ⇒ Quantity of water = 20% of 80 = 16 liters
Let x liters of water is added along with these two solutions to make water 25% of the whole mixture. ⇒ 15 + 16 + x = 25% of (50 + 80 + x) ⇒ 31 + x = 25% of (130 + x) ⇒ 31 + x = 32.5 + 0.25x ⇒ 0.75x = 1.5 ⇒ x = 2 liters.
Hence, option (b).
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