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e-lub [12.9K]
3 years ago
12

The combined average weight of an okapi and a llama is 450450 kilograms. The average weight of 33 llamas is 190190 kilograms mor

e than the average weight of one okapi. On average, how much does an okapi weigh, and how much does a llama weigh?
Mathematics
1 answer:
Nataliya [291]3 years ago
5 0

Answer:

Okapi 290 kg

Llama 160 kg


Step-by-step explanation:

Let weight of each llama be  l

Let weight of each okapi be  o


<em>Given, combined weight of 1 okapi and 1 llama is 450, we can write:</em>

<em>l+o=450</em>

<em>Also, average weight of 3 llama is 190 more than the average weight of 1 okapi, thus we can write:</em>

<em>3l-190=o</em>


Now, substituting 2nd equation into 1st equation, we can solve for weight of 1 llama:

l+o=450\\l+(3l-190)=450\\l+3l-190=450\\4l=450+190\\4l=640\\l=\frac{640}{4}=160


Each llama weights 160 kg, now using this and plugging into 2nd equation, we get weight of 1 okapi to be:

o=3l-190\\o=3(160)-190\\o=290

Each okapi weigh 290 kg

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