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?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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