Final answer:
To find the average weights of an okapi and a llama, two equations are formed using the given information: O + L = 450 and 3L = O + 190. Solving these equations yields O (okapi) = 290 kg and L (llama) = 160 kg.
Step-by-step explanation:
The question involves solving a system of linear equations representing the average weights of an okapi and a llama. First, we need to set up the equations based on the information provided. Let's denote the average weight of an okapi as O kilograms, and the average weight of a llama as L kilograms.
The first piece of information given is: The combined average weight of an okapi and a llama is 450 kilograms. This translates to the equation O + L = 450.
The second piece of information is: The average weight of 3 llamas is 190 kilograms more than the average weight of one okapi. This translates to the equation 3L = O + 190.
Now, to solve for O and L, we rearrange the second equation to O = 3L - 190 and substitute it into the first equation:
• (3L - 190) + L = 450
• 4L = 640
• L = 160
Now that we know L, we can find O:
• O + 160 = 450
• O = 450 - 160
• O = 290
Therefore, on average, an okapi weighs 290 kilograms and a llama weighs 160 kilograms.