document.write( "Question 78717: Business and finance. There are 850 Douglas fir and ponderosa pine trees in a
\n" ); document.write( "section of forest bought by Sawz Logging Co. The company paid an average of
\n" ); document.write( "$300 for each Douglas fir and $225 for each ponderosa pine. If the company paid
\n" ); document.write( "$217,500 for the trees, how many of each kind did the company buy?
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Algebra.Com's Answer #56564 by ankor@dixie-net.com(22740)\"\" \"About 
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There are 850 Douglas fir and ponderosa pine trees in a
\n" ); document.write( "section of forest bought by Sawz Logging Co. The company paid an average of
\n" ); document.write( "$300 for each Douglas fir and $225 for each ponderosa pine. If the company paid
\n" ); document.write( "$217,500 for the trees, how many of each kind did the company buy?
\n" ); document.write( ":
\n" ); document.write( "Let D = number of Douglas firs; P = number of Ponderosas
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\n" ); document.write( "Total trees:
\n" ); document.write( "D + P = 850
\n" ); document.write( "or
\n" ); document.write( "D = 850 - P
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\n" ); document.write( "Cost of all the trees:
\n" ); document.write( "300D + 225P = 217500
\n" ); document.write( ":
\n" ); document.write( "Substitute (850-P) for D, solve for P:
\n" ); document.write( "300(850-P) + 225P = 217500
\n" ); document.write( ":
\n" ); document.write( "255000 - 300P + 225P = 217500
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\n" ); document.write( "-300P + 225P = 217500 - 255000
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\n" ); document.write( "-75P = -37500
\n" ); document.write( ":
\n" ); document.write( "P = -37500/-75
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\n" ); document.write( "P = 500 Ponderosa trees
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\n" ); document.write( "850 - 500 = 350 Douglas firs.
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\n" ); document.write( "Check:
\n" ); document.write( "225(500) + 300(350) =
\n" ); document.write( " 112500 + 105000 = 217500
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