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      Question

      The average number of elephants, tigers, and lions in a

      zoo is 78. The average number of elephants and lions is 71. Additionally, the number of tigers is 6 more than the number of elephants. What is the average number of tigers and lions in the zoo?
      A 72 Correct Answer Incorrect Answer
      B 74 Correct Answer Incorrect Answer
      C 76 Correct Answer Incorrect Answer
      D 70 Correct Answer Incorrect Answer
      E 80 Correct Answer Incorrect Answer

      Solution

      Average = (sum of observations)/(number of observations)
      Let the number of elephants, tigers and lions in the zoo are E, T and L respectively.
      Now, 78 = (E + T + L)/3
      E + T + L = 234
      (E + L)/2 = 71
      E + L = 142
      Then, T + 142 = 234
      T = 92
      Now, T = 6 + E
      92 = 6 + E
      E = 86
      And L = 142 - L = 142 - 86 = 56
      Therefore, the average number of tigers and lions in the zoo = (T + L)/2 = (92 + 56)/2 = 74

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