Problema Solution
There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co. The company paid an average of $300 for each Douglas fir and $225 for each Ponderosa pine. If the company paid $217,500 for the trees, how many of each kind did the company buy?
Answer provided by our tutors
let
d = the number of Douglas fir bought
p = the number of Ponderosa pine bought
There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co:
d + p = 850
The company paid an average of $300 for each Douglas fir and $225 for each Ponderosa pine. The company paid $217,500 for the trees.
300d + 225p = 217500
by solving the system of equations:
d + p = 850
300d + 225p = 217500
we find:
d = 350 Douglas fir
p = 500 Ponderosa pine
click here to see the step by step solution of the system of equations: