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      Question

      A jar initially contains a certain quantity of

      buttermilk. After removing 8 liters of the mixture and replacing it with cream, this process is repeated twice more, with 10 liters and then 12 liters being taken out and replaced with cream each time. If the initial quantity of buttermilk in the jar is 80 liters, what is the final quantity of buttermilk in the jar?
      A 45 Correct Answer Incorrect Answer
      B 40 Correct Answer Incorrect Answer
      C 50 Correct Answer Incorrect Answer
      D 45 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, we can say that   Let Quantity of Butter milk from jar A = 3a Quantity of the cream from jar A = 2a Quantity of butter milk from jar B = 5b Quantity of cream from jar B = 6b Now, butter Milk in jar B = 5 × 5 = 25 liters cream in jar B = 6 × 5 = 30 liters (25 + 3a)/(30 + 2a) = 11/10 330 + 22a = 250 + 30a 8a = 80 a = 10 Quantity of jar A = 5 × 10 = 50 liters

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