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      Question

      A tank initially contains a water-alcohol mixture in a

      7:3 ratio. After removing 20 liters of the mixture and replacing it with pure alcohol, the ratio becomes 1:1. Determine the tank's total capacity.
      A 50 liters Correct Answer Incorrect Answer
      B 45 liters Correct Answer Incorrect Answer
      C 55 liters Correct Answer Incorrect Answer
      D 70 liters Correct Answer Incorrect Answer
      E 80 liters Correct Answer Incorrect Answer

      Solution

      SOLUTION: Let initially container contains 7x liters of water and 3x liters of alcohol After 20 liters of this mixture are replaced with alcohol then, Β  = 1/1 Β  = 1/1 Cross-multiplying- 70x-140 = 30x+140 40x = 280 x = 7 the total volume of the tank = 10x = 70 liter

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