SOLUTION: How do i set up an equation for this problem? There are a total of 500 douglas fir and hemlock trees in a section of the forest purchased by the hoodoo logging co. the company paid

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Question 198571This question is from textbook beginning algebra
: How do i set up an equation for this problem? There are a total of 500 douglas fir and hemlock trees in a section of the forest purchased by the hoodoo logging co. the company paid an average of $205 for each douglas fir and $300 for each hemlock. If the company paid a total of $132,000 for the trees how many of each kind did the company buy? This question is from textbook beginning algebra

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=# of douglas fir trees and y=# of hemlock trees


Since "There are a total of 500 douglas fir and hemlock trees", this means that x%2By=500 (ie add up the two counts to get a total of 500)


Also, because "the company paid an average of $205 for each douglas fir and $300 for each hemlock." and "the company paid a total of $132,000 for the trees", this translates to the equation 205x%2B300y=132000


So to find x and y, simply solve the system


system%28x%2By=500%2C205x%2B300y=132000%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do i set up an equation for this problem? There are a total of 500 douglas fir and hemlock trees in a section of the forest purchased by the hoodoo logging co. the company paid an average of $205 for each douglas fir and $300 for each hemlock. If the company paid a total of $132,000 for the trees how many of each kind did the company buy?
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Quantity Eq. : f + h = 500
Value Eq.... :205f+300h = 132,000
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Modify the 1st equation:
205f + 205h = 205*500
205f + 300h = 132000
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Subtract 1st from 2nd to get:
95h = 29500
h = 310.52 (# of hemlock trees bought)
f = 500-h = 189.47 # of fir trees bought)
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Cheers,
Stan H.