Two containers, A and B, hold 20 litres and 30 litres of liquid mixture, respectively. Container A has milk and water in the ratio 3 : 2, while container B has them in the ratio 4 : 1. If the entire contents of both containers are poured into a larger vessel and thoroughly mixed, what will be the resulting ratio of milk to water in the combined mixture?
Show answer & explanation
Correct answer: C
Explanation
Given:
Vessel A = 20 liters, milk : water = 3 : 2
Vessel B = 30 liters, milk : water = 4 : 1
Formula:
Quantity = Ratio / Total parts × Total mixture
In vessel A
Total parts = 3 + 2 = 5
Milk = (3/5) × 20 = 12 liters
Water = (2/5) × 20 = 8 liters
In vessel B
Total parts = 4 + 1 = 5
Milk = (4/5) × 30 = 24 liters
Water = (1/5) × 30 = 6 liters
Total milk = 12 + 24 = 36 liters
Total water = 8 + 6 = 14 liters
New ratio = 36 : 14 = 18 : 7