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      Question

      Vessel A contains a mixture of milk and water, with 30

      liters of milk. Vessel B also contains a milk-water mixture in the ratio of 5:4. The combined quantity of mixtures in vessels A and B is 140 liters, and the amount of water in vessel B is twice that in vessel A. Determine the quantity of mixture in vessel A.
      A 50 liters Correct Answer Incorrect Answer
      B 55 liters Correct Answer Incorrect Answer
      C 47.5 liters Correct Answer Incorrect Answer
      D 38 liters Correct Answer Incorrect Answer
      E 45 liters Correct Answer Incorrect Answer

      Solution

      Milk in vessel A = 30 liters A + B = 140 liters Water in vessel B = 4x Milk in vessel B = 5x Water in vessel A = 4x/2 = 2x 30 + 2x + 4x + 5x = 140 11x = 110 x = 10 Water in vessel A = 2 * 10 = 20 liters Total quantity in vessel A = 20 + 30 = 50 liters Hence answer is option A

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