document.write( "Question 103000: If you bought 850 Douglas firs and ponderosa pines and paid an average of $300 for douglas firs and $225 for ponderosa pines and the total you spent was $217,500 how many of each tree did you buy? \n" ); document.write( "
Algebra.Com's Answer #75159 by HyperBrain(694)![]() ![]() ![]() You can put this solution on YOUR website! Let x= no. of firs \n" ); document.write( " y= no. of ponderosa\r \n" ); document.write( "\n" ); document.write( "(1)x+y=850 \n" ); document.write( "(2)300x+225y=217500\r \n" ); document.write( "\n" ); document.write( "Substituting (1) to (2),\r \n" ); document.write( "\n" ); document.write( "300*(850-y)+225y=217500 \n" ); document.write( "255000-300y+225y=217500 \n" ); document.write( "255000-75y=217500 \n" ); document.write( "75y=3750 \n" ); document.write( "y=500 \n" ); document.write( "x+500=850 \n" ); document.write( "x=350\r \n" ); document.write( "\n" ); document.write( "Therefore, he bought 350 firs and 500 ponderosas! \n" ); document.write( " |