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      Question

      A mixture is made up of milk and

      honey in the ratio of 8:5, where the amount of milk exceeds the amount of honey by 60 liters. Determine the quantity of water to be added to the mixture so that the milk-to-honey ratio becomes 4:3.
      A 18 litres Correct Answer Incorrect Answer
      B 35 litres Correct Answer Incorrect Answer
      C 20 litres Correct Answer Incorrect Answer
      D 38 litres Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the quantity of milk and honey in the mixture be 8x litres and 5x litres, respectively According to the question, 8x – 5x = 60 Or, 3x = 60 Or, x = 20 Therefore, quantity of milk = 8x = 160 litres Quantity of honey = 5x = 100 litres Let the quantity of honey added be ‘y’ litres According to the question, 160/(100 + y) = 4/3 Or, 100 + y = 120 Or, y = 20 Therefore, quantity of honey to be added = 20 litres

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