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      Question

      A vessel contains a mixture of milk and water in the

      ratio 3: 2. If 10 liters of the mixture are taken out and replaced with 10 liters of water, the ratio of milk to water becomes 2: 3. What is the total volume of the mixture in the vessel?
      A 20 Correct Answer Incorrect Answer
      B 25 Correct Answer Incorrect Answer
      C 30 Correct Answer Incorrect Answer
      D 35 Correct Answer Incorrect Answer
      E 40 Correct Answer Incorrect Answer

      Solution

      Let the total volume of the mixture be 5x liters (since the ratio is 3: 2).┬а Initially, quantity of milk = 3x liters, and water = 2x liters.┬а After removing 10 liters of the mixture and adding 10 liters of water:┬а Milk left = 3x - 6 liters.┬а Water left = 2x + 6 liters.┬а New ratio = (3x тАУ 6): (2x + 6) = 2: 3.┬а Cross-multiplying and solving:┬а 9x - 18 = 4x + 12┬а 5x = 30┬а x = 6┬а Total volume of the mixture = 5x = 30 liters.

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