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?

Answer 1

I'm going to assume that you meant 450kg for the combined weight, 190kg more and 3 Llamas. I'm pretty sure Llamas and Okapis don't weigh 450450450kg (that's 993,073,252 pounds). :)

x= Okapi weight
y= Llama weight

EQUATIONS:
There are 2 equations to be written:

1) 450kg is equal to the weight of one Okapi and one Llama

450kg= x + y

2) The weight of 3 llamas is equal to the weight of one Okapi plus 190kg.

3y=190kg + x


STEP 1:
Solve for one variable in one equation and substitute the answer in the other equation.

450kg= x + y
Subtract y from both sides
450-y =x


STEP 2:
Substitute (450-y) in second equation in place of x to solve for y.

3y=190kg + x
3y=190 + (450-y)
3y=640 -y
add y to both sides

4y=640
divide both sides by 4

y=160kg Llama weight


STEP 3:
Substitute 160kg in either equation to solve for x.

3y=190kg + x
3(160)=190 + x
480=190 + x
Subtract both sides by 190

290= x
x= 290kg Okapi weight


CHECK:
3y=190kg + x
3(160)=190 + 290
480=480

Hope this helps! :)

Answer 2

Llama's weight will be 160kg and Okami's weight will be 290kg.

What is an average?

An average is one number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group.

The weight for both will be calculated as below:-

x= Okapi weight

y= Llama weight

There are 2 equations to be written:

1) 450kg is equal to the weight of one Okapi and one Llama.

450kg= x + y

2) The weight of 3 llamas is equal to the weight of one Okapi plus 190kg.

3y=190kg + x

Solve for one variable in one equation and substitute the answer in the other equation.

450kg= x + y

Subtract y from both sides.

450-y =x

Substitute (450-y) in the second equation in place of x to solve for y.

3y=190kg + x

3y=190 + (450-y)

3y=640 -y

Add y to both sides.

4y=640

Divide both sides by 4.

y=160kg Llama weight

Substitute 160kg in either equation to solve for x.

3y=190kg + x

3(160)=190 + x

480=190 + x

Subtract both sides by 190.

290= x

x= 290kg Okapi weight

Therefore, Llama's weight will be 160kg and Okami's weight will be 290kg.

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