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      Question

      Bag A and Bag B contain balls in the ratio of 7:6, while

      Bag B and Bag C have balls in the ratio of 2:3. If the average number of balls across all three bags is 22, determine the number of balls in Bag A.
      A 28 Correct Answer Incorrect Answer
      B 21 Correct Answer Incorrect Answer
      C 14 Correct Answer Incorrect Answer
      D 24 Correct Answer Incorrect Answer

      Solution

      Let the number of balls in bag A, bag B and bag C be β€˜7x’, β€˜6x’ and β€˜9x’ respectively.

      7x + 6x + 9x = 22 Γ— 3


      22x = 22 Γ— 3, x = 3


      So, the number of balls in bag A = 7x = 21

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