3 containers A,B,C are having mixtures of milk and water in the ratio of 1:5, 3:5, 5:7 respectively. The capacities of the containers are in ratio 5:4:5. if the containers are mixed together , find the ratiobof milkbto water in the resulting mixture..? (pls describe the way of doing)
let,
in the container A,
Milk = x
water = 5x
in the container B,
Milk = 3y
Water = 5y
in the container C,
Milk = 5z
Water = 7z
Capacities of containers are in the ratio 5:4:5.
Capacity of container A = 5m
Capacity of container B = 4m
Capacity of container C = 5m
So, Capacity of Container A = Capacity of Container C
⇒ 6x = 12z
∴ x = 2z
5m=12z
⇒m=12z/5
4m=4×(12z)/5
= 48z/5
8y= 48z/5
⇒y=6z/5
Total capacity of Milk=x+3y+5z
= 2z+18z/5+5z
= 53z/5
Total Capacity of water = 5x+5y+7z
= 10z+30z/5+7z
= 115z/5
Ratio of Capacity of Milk with Water = 53z/5 : 115z/5
= 53:115