Question
A 40-litre mixture of milk and water contains milk and
water in the ratio 5 : 3. How many litres of water must be added so that the ratio of milk to water becomes 5 : 4?Solution
Total = 40 L, ratio 5 : 3 Milk = (5/8) × 40 = 25 L Water = (3/8) × 40 = 15 L Let x litres of water added. New milk : water = 25 : (15 + x) = 5 : 4 25 / (15 + x) = 5 / 4 Cross-multiply: 25 × 4 = 5(15 + x) 100 = 75 + 5x 5x = 25 ⇒ x = 5 L
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