SOLUTION: Business and finance. There are 850 Douglas fir and ponderosa pine trees in a
section of forest bought by Sawz Logging Co. The company paid an average of
$300 for each Douglas fi
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-> SOLUTION: Business and finance. There are 850 Douglas fir and ponderosa pine trees in a
section of forest bought by Sawz Logging Co. The company paid an average of
$300 for each Douglas fi
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Question 78717: Business and finance. There are 850 Douglas fir and ponderosa pine trees in a
section of forest bought by Sawz 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?
You can put this solution on YOUR website! There are 850 Douglas fir and ponderosa pine trees in a
section of forest bought by Sawz 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?
:
Let D = number of Douglas firs; P = number of Ponderosas
:
Total trees:
D + P = 850
or
D = 850 - P
:
Cost of all the trees:
300D + 225P = 217500
:
Substitute (850-P) for D, solve for P:
300(850-P) + 225P = 217500
:
255000 - 300P + 225P = 217500
:
-300P + 225P = 217500 - 255000
:
-75P = -37500
:
P = -37500/-75
:
P = 500 Ponderosa trees
:
850 - 500 = 350 Douglas firs.
:
:
Check:
225(500) + 300(350) =
112500 + 105000 = 217500
