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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