Question
A milkman has 60 litres of a mixture of milk and water
in the ratio 3 : 1. How many litres of water must he add so that the new ratio of milk to water becomes 3 : 2?Solution
Ratio milk : water = 3 : 1, total parts = 4 Each part = 60 ÷ 4 = 15 litres Milk = 3 × 15 = 45 litres Water = 1 × 15 = 15 litres Let x litres of water be added. New water quantity = 15 + x New ratio: milk : water = 3 : 2 So, 45 : (15 + x) = 3 : 2 Cross-multiply: 45 × 2 = 3 × (15 + x) 90 = 45 + 3x 3x = 45 → x = 15 So he must add 15 litres of water.
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