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      Question

      Two mixtures, X and Y, have milk-to-fruit juice ratios of

      4:5 and 7:8, respectively. When these two mixtures are combined, the total quantity of the final mixture becomes 1.5 liters, with the milk-to-fruit juice ratio in the final mixture being 37:23. What was the original quantity of mixture X before mixing?
      A 550 ml Correct Answer Incorrect Answer
      B 408 ml Correct Answer Incorrect Answer
      C 450 ml Correct Answer Incorrect Answer
      D 910 ml Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;

      Let quantity of milk and fruit juice in mixture X and Y be 4x ml and 5x ml and 7y ml and 8y ml, respectively.

      Quantity of milk in 1500 ml of mixture = 37/60 × 1500 = 925 ml

      Quantity of fruit juice in 1500 ml of mixture = 1500 – 925 = 575 ml

      So, 4x + 7y = 925

      And, 5x + 8y = 575

      Solving the above equations, we get;

      x = 50 and y = 60

      So, quantity of mixture X = 50 × 9 = 450 ml

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