The weight of okapi is 272.5kg and weight of llama is 627.5 kg .
The combined average weight of okapi and llama that is sum of their respective weights and divided by 2 is 450kg.
A weighted average is an average obtained by combining different numbers.
let the weight of okapi be x kg and the weight of llama as y kg .
we have given that,
Combined average weight of an okapi and llama is 450 kg . Mathematically,
(x+y)/2 = 450
=> x + y = 900 ---(1)
Now, average weight of 3 llama is 190 kg more than the average weight of an okapi weight.
3x = y + 190
=> 3x- y = 190 --(2)
we get two linear equation with two variables so, we can solve these using Elemination method,
Add the 2 equations together, we get
4x = 1090
=> x = 272.5
plug the value of x in equation (2)
=> y = 3x - 190 = 627.5
So an okapi weights 272.5kg, and a llama weighs 627.5kg.
To learn more about Combined average weight, refer :
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