document.write( "Question 78717: Business and finance. There are 850 Douglas fir and ponderosa pine trees in a
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document.write( "section of forest bought by Sawz Logging Co. The company paid an average of
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document.write( "$300 for each Douglas fir and $225 for each ponderosa pine. If the company paid
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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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( ": \n" ); document.write( "Total trees: \n" ); document.write( "D + P = 850 \n" ); document.write( "or \n" ); document.write( "D = 850 - P \n" ); document.write( ": \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 \n" ); document.write( ": \n" ); document.write( "-300P + 225P = 217500 - 255000 \n" ); document.write( ": \n" ); document.write( "-75P = -37500 \n" ); document.write( ": \n" ); document.write( "P = -37500/-75 \n" ); document.write( ": \n" ); document.write( "P = 500 Ponderosa trees \n" ); document.write( ": \n" ); document.write( "850 - 500 = 350 Douglas firs. \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check: \n" ); document.write( "225(500) + 300(350) = \n" ); document.write( " 112500 + 105000 = 217500 \n" ); document.write( " |