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 Show Calculator _____ kilograms.

Answer 1

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.