Multiple choice

Three containers have their volumes in the ratio 2 : 3 : 5. They are full of mixtures of wine and water. The mixtures contain wine and water in the ratio of (3 : 1), (2 : 1), and (3 : 2), respectively. The contents of all these three containers are poured into a fourth container. Find the amount of wine in the second container, if the wine in the fourth container is equal to 65 Liters.

  1. 10 Liters

  2. 15 Liters

  3. 20 Liters

  4. 30 Liters
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let volumes be 2x, 3x, 5x. Wine in containers: (3/4)*2x = 1.5x, (2/3)*3x = 2x, (3/5)*5x = 3x. Total wine = 1.5x + 2x + 3x = 6.5x. Given 6.5x = 65, so x = 10. Wine in second container is 2x = 20 Liters.

AI explanation

Let the volumes of the three containers be 2x, 3x, and 5x. The wine in the first is 3/4 of 2x, the wine in the second is 2/3 of 3x, and the wine in the third is 3/5 of 5x, yielding 1.5x, 2x, and 3x respectively. The total wine in the fourth container is 6.5x, which is given as 65 liters, making x equal to 10. The amount of wine in the second container is 2x, which is 20 liters.

Keep practicing — related questions