Three containers A, B and C are having mixtures of milk and water in the ratio 1 : 5, 3 : 5 and 5 : 7 respectively. If the capacities of the containers are in the ratio 5 : 4 : 5, find the ratio of milk to water, if the mixtures of all the three containers are mixed together? `1: 115` b. `52 : 115` c. `53 : 115` d. `54 : 115`

Options

A. `51:115`
B. `52:115`
C. `53:115`
D. `54:115

Answer

C

Explanation

Ratio of milk in the containers are,
` 5xx (1)/(6):4xx (3)/(8):5xx(5)/(12)=(5)/(6):(3)/(2):(25)/(12)`
and the ratio of water in the containers are,
` 5xx( 5)/(6):4xx(5)/(8) :5xx (7)/(12)=(25)/(6):(5)/(2):(35)/(12)`
Ratio of mixture of milk and water in the containers
`=((1)/(6)xx 5+(3)/(8) : 5xx (7)/(12)xx5):((5)/(6)xx 5+(5)/(8) xx 4+(7)/(12)xx5)`
` =106:230 =53:115`