Question

The ratio of milk and water in the first container is 3 : 2, in second it is 7 : 3 and in third it is 11 : 4. If the mixtures of these containers are poured in a fourth container and the quantity of mixtures in the first three containers are same, then find the ratio of the volume of milk and water in the fourth container.
A. 60 : 29
B. 61 : 30
C. 59 : 30
D. 61 : 29

Answer 1

volumes of mixtures in the first three containers are the same.

let ,volume of mixture in the first container be 5x liters

let,volume of mixture in the second container be 10y litres.

let,volume of mixture in the third container be 15z litres..

according to condition,

5x=10y=15z

x=2y=3z

y=x/2 and z=x/3

volume of milk in the fourth container is 3x+7y+11z=3x+7x/2+11x/3=61x/6 litres.

volume of water in the fourth container is 2 X + 3 Y + 4 Z=2x+3x/2+4x/3=29x/6 litres.

Ratio to the volumes of milk and water in the fourth container is 61:29