Question
In a mixture of milk and water, the ratio of milk to
water is 5 : 3. How much water must be added to 32 litres of this mixture to make the ratio 5 : 4?Solution
Total parts = 5 + 3 = 8 32 litres correspond to 8 parts 1 part = 32 / 8 = 4 litres Milk = 5 parts = 5 × 4 = 20 litres Water initially = 3 parts = 3 × 4 = 12 litres Let x litres of water be added. Then milk = 20 litres (unchanged) Water = 12 + x litres New ratio milk : water = 5 : 4 So, 20 / (12 + x) = 5 / 4 Cross-multiply: 20 × 4 = 5(12 + x) 80 = 60 + 5x 80 − 60 = 5x 20 = 5x x = 4 litres Answer: 4 litres of water
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