SOLUTION: There are a total of 500 Douglas fir and hemlock trees in a section of forest bought by Hoodoo Logging Co. The company paid an average of $250 for each Douglas fir and $300 for eac
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Question 84903: There are a total of 500 Douglas fir and hemlock trees in a section of forest bought by Hoodoo Logging Co. The company paid an average of $250 for each Douglas fir and $300 for each hemlock. If the company paid $132,000 for the trees, how many of each kind did the company buy?
I am not sure how to start the equation
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
There are a total of 500 Douglas fir and hemlock trees in a section of forest bought by Hoodoo Logging Co. The company paid an average of $250 for each Douglas fir and $300 for each hemlock. If the company paid $132,000 for the trees, how many of each kind did the company buy?
:
Let d = no. of Douglas fir trees
Let h = no. of Hemlock trees
:
Write a simple equation for each statement:
"There are a total of 500 Douglas fir and hemlock trees"
d + h = 500
d = (500 - h); use for substitution later
:
"company paid an average of $250 for each Douglas fir and $300 for each hemlock. If the company paid $132,000 for the trees,"
250d + 300h = 132000
:
how many of each kind did the company buy?
Substitute (500-h) for d in the above equation and solve for h:
:
250(500-h) + 300h = 132000
;
125000 - 250h + 300h = 132000
:
50h = 132000 - 125000
:
h = 7000/50
:
h = 140 hemlock trees
:
Find d:
d = 500 - h
:
d= 500 - 140
:
d = 360 Douglas firs
:
:
Check solutions using $$ equation:
360(250) + 140(300) =
90000 + 42000 = 132000
:
Make sense to you?
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