There are two mixtures in a shop. The first mixture contains milk and water in the ratio 1:4 while the second container contains milk and water in the ratio 3:2. If both mixtures are mixed in a container, the resulting mixture has a milk and water ratio of 9:11. Find the ratio in which both mixtures are mixed with each other.

First mixture: milk:water = 1:4, so milk fraction = 1/5. Second mixture: milk:water = 3:2, so milk fraction = 3/5. Final mixture: milk:water = 9:11, so milk fraction = 9/20. Using allegation: Let ratio be x:y. (1/5)×x + (3/5)×y = (9/20)×(x+y). This gives 4x + 12y = 9x + 9y, so 3y = 5x, giving x:y = 3:5. The mixtures are combined in ratio 3:5.