Question

Select the two equations that will help you to solve this problem:

The combined average weight of an okapi and a llama is 450 kilograms.

3 llamas, on average, weigh 190 kilograms more than an average okapi.

You want to find the average weight of each type of animal.

Answer 1

An average Ilama weighs 160 kilograms and an average okapi weighs 290 kilograms.

Explanation:

Let,

x be the average weight of a Ilamas

y be the average weight of an okapi

According to given statement;

x + y = 450 Eqn 1

3x = y + 190 Eqn 2

From Eqn 2

y = 3x - 190 Eqn 3

Putting this value of y in Eqn 1

x + (3x-190) = 450

x + 3x - 190 = 450

4x = 450 + 190

4x = 640

Dividing both sides by 4

`(4x)/(4)=(640)/(4)\\x=160\\`

Putting x = 160 in Eqn 3

y = 3(160) - 190

y = 480 - 190

y = 290

Hence,

An average Ilama weighs 160 kilograms and an average okapi weighs 290 kilograms.