Question
Two vessels contain mixtures of milk and water in the
ratio 7:3 and 5:4, respectively. Equal quantities from both vessels are mixed to form a new mixture. What is the ratio of milk to water in the new mixture?Solution
Let the quantity taken from each vessel be 1 liter. Milk and water in the first vessel: Milk = 7/10 liter, Water = 3/10 liter. Milk and water in the second vessel: Milk = 5/9 liter, Water = 4/9 liter. Milk in the new mixture: Total milk = (7/10) + (5/9) = (63 + 50) / 90 = 113/90 liters. Water in the new mixture: Total water = (3/10) + (4/9) = (27 + 40) / 90 = 67/90 liters. Ratio of milk to water: Milk : Water = 113 : 67. Correct option: e.
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