Question

The olive trees in an orchard produce 3,000 pounds of olives a year. It takes 20 pounds of olives to make 3 liters of olive oil. How many liters of olive oil can this orchard produce in a year?

Answer 1

450L

Explanation:

This is a ratio and proportion problem. First you need to determine the known ratio and the unknown ratio. In this case we have the known ratio:

`(20 lbs)/(3L)`

The unknown ratio in this case is:

`(3,000lbs)/(xL)`

So to do this, we just set up the proportion and solve for it:

`(20lbs)/(3L)=(3,000lbs)/(xL)\\\\{20lbs}=(3L*3,000lbs)/(xL)\\\\{xL}=(3L*3,000lbs)/(20lbs)\\\\{xL}=(9,000L)/(20)\\\\xL = 450L`