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…

Question

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?

1. A. 15.5 litres
2. B. 22.5 litres (Correct answer)
3. C. 25 litres
4. D. 30 litres

Correct Answer

Option B — 22.5 litres

Detailed Solution & Explanation

The correct answer is 22.5 litres.

Key Points

• In 40 L at 5 : 3, juice = 25 L and water = 15 L. Only water is added, so juice stays 25 L. For juice : water = 2 : 3, set 25/(15 + w) = 2/3 → 75 = 30 + 2w → w = 22.5 litres.
• Hold the unchanged quantity (juice) fixed and solve for the added water; letting both parts vary is the common error.