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      Question

      An 80-liter mixture consists of milk and honey in a 4:1

      ratio. If 'a' liters of honey and 20 liters of milk are added to the mixture, the resulting ratio of milk to honey changes to 3:2. Determine the value of 'a'.
      A 70 Correct Answer Incorrect Answer
      B 22 Correct Answer Incorrect Answer
      C 18 Correct Answer Incorrect Answer
      D 40 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;
      Initial milk = 4/5 of 80 = 64 liters
      Initial honey = 16 liters
      After adding 20 liters milk => total milk = 64 + 20 = 84
      After adding 'a' liters honey => total water = 16 + a
      New ratio milk : honey = 3 : 2
      Hence 84 : (16 + a) = 3 : 2
      Cross multiply => 84 × 2 = 3(16 + a)
      168 = 48 + 3a
      3a = 120
      a = 40

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