document.write( "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?\r
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Algebra.Com's Answer #61179 by ankor@dixie-net.com(22740)\"\" \"About 
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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?
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\n" ); document.write( "Let d = no. of Douglas fir trees
\n" ); document.write( "Let h = no. of Hemlock trees
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\n" ); document.write( "Write a simple equation for each statement:
\n" ); document.write( "\"There are a total of 500 Douglas fir and hemlock trees\"
\n" ); document.write( "d + h = 500
\n" ); document.write( "d = (500 - h); use for substitution later
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\n" ); document.write( "\"company paid an average of $250 for each Douglas fir and $300 for each hemlock. If the company paid $132,000 for the trees,\"
\n" ); document.write( "250d + 300h = 132000
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\n" ); document.write( "how many of each kind did the company buy?
\n" ); document.write( "Substitute (500-h) for d in the above equation and solve for h:
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\n" ); document.write( "250(500-h) + 300h = 132000
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\n" ); document.write( "125000 - 250h + 300h = 132000
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\n" ); document.write( "50h = 132000 - 125000
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\n" ); document.write( "h = 7000/50
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\n" ); document.write( "h = 140 hemlock trees
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\n" ); document.write( "Find d:
\n" ); document.write( "d = 500 - h
\n" ); document.write( ":
\n" ); document.write( "d= 500 - 140
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\n" ); document.write( "d = 360 Douglas firs
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\n" ); document.write( "Check solutions using $$ equation:
\n" ); document.write( "360(250) + 140(300) =
\n" ); document.write( "90000 + 42000 = 132000
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\n" ); document.write( "Make sense to you?\r
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