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      Question

      A company manufactures two types of beverages: Beverage

      X, which costs 20 per liter, and Beverage Y, which costs 32 per liter. They aim to produce 150 liters of a new beverage with a cost of 24 per liter. How many liters of each beverage should be used to achieve this?
      A 50 liters of X and 100 liters of Y Correct Answer Incorrect Answer
      B 60 liters of X and 90 liters of Y Correct Answer Incorrect Answer
      C 70 liters of X and 80 liters of Y Correct Answer Incorrect Answer
      D 100 liters of X and 50 liters of Y Correct Answer Incorrect Answer
      E 90 liters of X and 60 liters of Y Correct Answer Incorrect Answer

      Solution

      Beverage X costing 20 per liter and Beverage Y costing 32 per liter The total cost of the mixture should be 24 per liter: By alligation method- Ratio of Beverage X to Beverage Y = (32-24): (24-20) = 8: 4 = 2: 1 2x+1x = 150 3x = 150 X = 50 Which means 100 liters of X and 50 liters of Y

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