Three containers A,B and C having mixtures of milk and water in ratio of 1:5, 3:5 and 5:7 respectively. If the capacities of the container are in the ratio 5:4:5. Find the ratio of milk and water. If the mixtures of all the three containers are mixed together.
A. 53:115
B. 115:53
C. 153:55
D. 153:53
E. 153:35
Solution(By Examveda Team)
Assume that there are 500,400 and 500 litres respectively in the 3 containers.
Then, we have, 83.33, 150 and 208.33 litres of milk in each of the three containers.
Thus, the total milk is 441.66 litres. Hence, the amount of water in the mixture is
1400 - 441.66 = 958.33liters.
Hence, the ratio of milk to water is
441.66 : 958.33 => 53:115 (using division by .3333)
The calculation thought process should be
(441*2+2) : (958*3+1) = 1325 : 2875.
Dividing by 25 => 53:115.
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Thanks Team
(5/6+12/8+25/12)/14=53/115
so req. ratio=53:(168-53)=53:115
fraction of milk in the final solution=(5/6+12/8+25/12)/(5+4+5)=53/168
so, req. ratio of milk to water=53/(168-53)=53:115