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      Question

      The ratio of the milk to water in a mixture is 11:4. 45

      litres of mixture is removed and 9 litres of water is added in the remaining mixture. If in the final mixture the quantity of milk is double the quantity of water, then find the quantity of water in the initial mixture.
      A 28 litres Correct Answer Incorrect Answer
      B 32 litres Correct Answer Incorrect Answer
      C 36 litres Correct Answer Incorrect Answer
      D 40 litres Correct Answer Incorrect Answer
      E 44 litres Correct Answer Incorrect Answer

      Solution

      Let the quantity of the milk in the initial mixture = 11x litres

      The quantity of the water in the initial mixture = 4x litres

      The quantity of milk in 45 litres of mixture = (45/15) Γ— 11 = 33 litres

      The quantity of water in 45 litres of mixture = (45/15) Γ— 4 = 12 litres

      According to the question,

      (11x – 33) = 2 Γ— (4x – 12 + 9)

      11x – 33 = 2 Γ— (4x – 3)

      11x – 33 = 8x – 6

      3x = 27

      x = 9

      The quantity of water in the initial mixture = 4 Γ— 9 = 36 litres

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