Three containers have volumes in the ratio 3 :4 : 5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of 4 : 1, 3:1 and 5 :2 respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is:
Answers
The ratio of milk and water would be 157:53
1) The ratio of volume of containers is 3:4:5
Let the volume of containers be 3x,4x,5x
2) For the first container, ratio of milk and water is 4:1
Therefore Milk in first container would be 3x *(4/5) = 12x/5
And water in first container would be 3x*(1/5) = 3x/5
3) For the second container, ratio of milk and water is 3:1
Therefore Milk in second container would be 4x *(3/4) = 3x
And water in second container would be 4x*(1/4) = x
4) For the third container, ratio of milk and water is 5:2
Therefore Milk in third container would be 5x *(5/7) = 25x/7
And water in third container would be 5x*(2/7) = 10x/7
5) Total amount of milk would be : 12x/5 + 3x + 25x/7 = 314x/35
Total amount of water would be : Total volume - total milk = 12x - 314x/35 = 106x/35
6) ratio of milk and water would be 314x:106x = 157:53