Multiple choice

A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

  1. 7 liters

  2. 15 liters

  3. 10 liters

  4. 9 liters
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial: 150 liters, 20% water = 30L water, 120L wine. Add x water: (30+x)/(150+x) = 0.25. 30+x = 37.5 + 0.25x. 0.75x = 7.5. x = 10.

AI explanation

Use the rule of mixture or apply alligation between the 20% water solution and pure water (100%) to get a 25% mixture. The alligation ratio is (100 - 25):(25 - 20), which is 75:5 or 15:1. Since the original mixture is 150 liters, divide it by 15 to find that 10 liters of water must be added.

Keep practicing — related questions