A 70-litre container is filled with a solution of wine and water, with the ratio of wine to water being 5:2. If 14 litres of the solution is removed and replaced with 14 litres of pure water, what is the new ratio of wine to water?
Show answer & explanation
Correct answer: D
Explanation
Given:
Total solution = 70 liters
Wine : Water = 5 : 2
Solution withdrawn = 14 liters
Pure water added = 14 liters
Initial wine = (5/7) × 70 = 50 liters
Initial water = (2/7) × 70 = 20 liters
Wine in 14 liters of solution = (5/7) × 14 = 10 liters
Water = (2/7) × 14 = 4 liters
After withdrawal
Wine = 50 − 10 = 40 liters
Water = 20 − 4 = 16 liters
Now 14 liters of water is added
Water = 16 + 14 = 30 liters
New ratio = Wine : Water = 40 : 30 = 4 : 3