A 40-liter mixture contains juice and water in the ratio 5:3. How much water (in liters) must be added to this mixture to change the ratio of juice to water to 2:3?
Show answer & explanation
Correct answer: B
Explanation
Total mixture = 40 liters
Juice : Water = 5 : 3
Juice = 40 × 5/8 = 25 liters
Water = 40 × 3/8 = 15 liters
Let x liters of water be added.
25/(15 + x) = 2/3
75 = 30 + 2x
2x = 45
x = 22.5 liters