The ratio of milk and water in two containers of 20 litres and 36 litres are in the ratio 3 :7 and 7 : 5, respectively. What will be the ratio of milk and water if the two containers are mixed together?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 27 : 29
Container 1 capacity = 20 liters
Container 2 capacity = 36 liters
The ratio of milk to water in container 1 = 3 : 7
The ratio of milk to water in container 2 = 7 : 5
Container 1 -
Total parts = 3 + 7 = 10 parts
Quantity of milk in container 1 = 3(20)/10 = 6 lt
Quantity of water in container 1 = 7(20)/10) = 14 lt
Container 2 -
Total parts = 7 + 5 = 12 parts
Quantity of milk in container 2 = 7(36/12) = 21 lt
Quantity of water in container 2 = 5(36/12) = 15 lt
Total quantity of milk = 6 lt + 21 lt = 27 lt
Total quantity of water = 14 lt + 15 lt = 29 lt
The ratio of milk to water when the two containers are mixed together = 27 : 29