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      Question

      Two mixtures, P and Q, have milk-to-honey ratios of 7:5 and

      8:9, respectively. When these two mixtures are combined, the total quantity of the final mixture becomes 0.84 liters, with the milk-to-Honey ratio in the final mixture being 37:33. What was the original quantity of mixture Q before mixing?
      A 550 ml Correct Answer Incorrect Answer
      B 408 ml Correct Answer Incorrect Answer
      C 320 ml Correct Answer Incorrect Answer
      D 160 ml Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;

      Let quantity of milk and honey in mixture P and Q is 7x ml and 5x ml and 8y ml and 9y ml respectively.

      Quantity of milk in 840 ml of mixture = 37/70 ├Ч 840 = 444 ml

      Quantity of Honey in 840 ml of mixture = 840 тАУ 444 = 396 ml

      So, 7x + 8y = 444

      And, 5x + 9y = 396

      Solving above equations we get;

      x = 36 and y = 24

      So, quantity of mixture Q = 24 ├Ч 17 = 408 ml

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