In a mixture, the ratio of the milk and water is 6 : 5. when 22 liter mixture is replaced by water, the ratio becomes 9 : 13. Find the quantity of water after replacement.

In a mixture, the ratio of the milk and water is 6 : 5. when 22 liter mixture is replaced by water, the ratio becomes 9 : 13. Find the quantity of water after replacement. Correct Answer 52 liter

Correct Option: DLet milk = 6x, water = 5xAccording to the question, 6x – 22 × 6 : 5x – 22 × 5 + 22 = 9 : 13 11 11 6x – 12 : 5x – 10 + 22 = 9 : 1313 (6x – 12) = 9 (5x + 12)78x – 156 = 45x + 10878x – 45x = 156 + 10833x = 264x = 8Water after replacement = 5 × 8 – 10 + 22 = 40 + 22 = 52 litreHence, option D is correct.

Related Questions

Jar A comprises a mixture of milk and water in the ratio of 3 : 2 respectively. Another mixture of milk and water is added to jar A and the ratio of milk and water in the resultant mixture changes. What was the initial quantity of mixture present in Jar A? I. The ratio of milk and water in the mixture that was added to Jar A was 2 : 1 respectively. II. The ratio of the new quantities of milk and water in Jar A was 8 : 5 respectively. The quantity of water in the mixture added to jar A was 6 litre.