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

Answer:

450L

Step-by-step 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:

$\dfrac{20 lbs}{3L}$

The unknown ratio in this case is:

$\dfrac{3,000lbs}{xL}$

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

$\dfrac{20lbs}{3L}=\dfrac{3,000lbs}{xL}\\\\{20lbs}=\dfrac{3L\times3,000lbs}{xL}\\\\{xL}=\dfrac{3L\times3,000lbs}{20lbs}\\\\{xL}=\dfrac{9,000L}{20}\\\\xL = 450L$