Question

the combined average weight of an okapi and a llama is 450450450 kilograms. the average weight of 333 llamas is 190190190 kilograms more than the average weight of one okapi. on average, how much does an okapi weigh, and how much does a llama weigh? on average, an okapi weighs kilograms and a llama weighs kilograms.

Answer 1

• okapi: 290 kg
• llama: 160 kg

Explanation:

You want the weights of an okapi and a llama if their combined weight is 450 kg and 3 llamas weigh 190 kg more than one okapi.

Setup

We can write the weight relations as ...

O +L = 450

3L -O = 190

Solution

Adding the two equations together gives us ...

4L = 640 . . . . . . simplify

L = 160 . . . . . divide by 4

Then the weight of an okapi is ...

O = 3L -190 = 3(160) -190 = 290 . . . . . using the second equation

On average, an okapi weighs 290 kg, and a llama weighs 160 kg.

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Additional comment

In the attached matrix solution, the second equation is -O +3L = 190.