Multiple choice

A mixture contains wine and water in the ratio 5 : 1. On adding 5 litre of water, the ratio of wine to water becomes 5 : 2. The quantity of wine in the mixture is ?

  1. 32 L

  2. 25 L

  3. 81 L

  4. 35 L

  5. 50 L
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let wine = 5x and water = x. Adding 5L water: 5x / (x+5) = 5/2. 10x = 5x + 25, 5x = 25, x = 5. Wine = 5x = 25L.

AI explanation

Let the initial volume of wine and water be 5x and 1x. When 5 liters of water are added, the new amount of water becomes 1x plus 5, making the new ratio 5x divided by (1x plus 5) equal to 5 divided by 2. Solving this equation, 10x equals 5x plus 25, which means 5x equals 25. Therefore, x equals 5, and the initial quantity of wine is 5 times 5, which is 25 liters.

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