Ratio of volumes of three containers containing milk and water is (4:3:6) and the ratio of milk and water in these containers is (2 : 1, 4 : 1) and (1 : 2) respectively. If all three containers are mixed together what will be the ratio of milk and water in resultant mixture?

Let the three containers have volumes 4x, 3x, and 6x respectively. Container 1 (4x): milk = (2/3)×4x = 8x/3, water = (1/3)×4x = 4x/3. Container 2 (3x): milk = (4/5)×3x = 12x/5, water = (1/5)×3x = 3x/5. Container 3 (6x): milk = (1/3)×6x = 2x, water = (2/3)×6x = 4x. Total milk = 8x/3 + 12x/5 + 2x = (40x + 36x + 30x)/15 = 106x/15. Total water = 4x/3 + 3x/5 + 4x = (20x + 9x + 60x)/15 = 89x/15. Ratio = 106x/15 : 89x/15 = 106:89 = 26:19 (milk:water).