Question

the combined average weight of an okapi and a llama is 450 kilograms. the average weight of 3 llamas is 190 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. show calculator

Explanation:

Step1: Define variables

Let $o$ = okapi weight, $l$ = llama weight.

Step2: Set up first equation

Combined weight: $o + l = 450$

Step3: Set up second equation

3 llamas vs okapi: $3l = o + 190$

Step4: Rearrange first equation

$o = 450 - l$

Step5: Substitute into second equation

$3l = (450 - l) + 190$

Step6: Simplify and solve for $l$

$3l + l = 450 + 190$
$4l = 640$
$l = \frac{640}{4} = 160$

Step7: Solve for $o$

$o = 450 - 160 = 290$

Answer:

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