
Lydia H. answered 04/27/20
Medical student who loves to teach
To solve this, we'll need to set up a system of equations. Let's name our variables L for llama and O for okapi.
We know that the average weight of 1 llama and 1 okapi is 450 kg, so: (L + O)/2 = 450
We also know that the average of 3 llamas is 190kg more than the weight of 1 okapi, so: 3L = O + 190
Let's solve for O in the first equation:
(L+O)/2 = 450
L+O = 900
O = 900 - L
Now we can plug in that expression for O in the second equation:
3L = O + 190
3L = 900 - L + 190
4L = 1090
L = 272.5kg
Now we can plug in that value for L in the equation:
3L = O + 190
3 ( 272.5) = O + 190
817.5 = O + 190
627.5kg = O
Now we can plug both values back into the 1st equation to check our work:
(L+O)/2 = 450
(627.5 + 272.5)/2 = 450
So 1 llama is 272.5kg and 1 okapi is 627.5kg.
I hope this helps!