In a 70 liter mixture of milk and water, the ratio of milk to water is 4:3. How much water must be added to make the ratio of milk to water 2:3?
Show answer & explanation
Correct answer: D
Explanation
Given:
Mixture = 70 liters
Milk : Water = 4 : 3
Formula:
Total parts = 4 + 3 = 7
Milk = (4/7) × Total mixture
Water = (3/7) × Total mixture
Milk = (4/7) × 70 = 40 liters
Water = (3/7) × 70 = 30 liters
Let water added = x liters
New ratio = 2 : 3
40 / (30 + x) = 2 / 3
3 × 40 = 2(30 + x)
120 = 60 + 2x
2x = 60
x = 30
Water added = 30 liters