Question
A mixture contains 60 liters of milk and water in the
ratio 3:2. How much water should be added to make the ratio of milk to water 3:4?Solution
Milk in the mixture = (3/5) × 60 = 36 liters. Water in the mixture = (2/5) × 60 = 24 liters. Let x liters of water be added. New quantity of water = 24 + x. New ratio = Milk : Water = 3:4. 36 / (24 + x) = 3 / 4. Cross-multiply: 4 × 36 = 3 × (24 + x) 144 = 72 + 3x 72 = 3x x = 24 liters.
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