document.write( "Question 85227: There are 850 Douglas fir and ponderosa pine trees in a section of forest bought by Saws Logigng Co. The company paid an avarage of $300 for each Douglas fir and $225 for each ponderosa pine. If the company paid $217,500 for the trees, how many of each kind did the company buy? \n" ); document.write( "
Algebra.Com's Answer #61431 by Lacey020991(49) ![]() You can put this solution on YOUR website! x = douglas firs \n" ); document.write( "y = ponderosa pine trees \n" ); document.write( ". \n" ); document.write( "x + y = 850 \n" ); document.write( "300x + 225y = 217,500 \n" ); document.write( ". \n" ); document.write( "Solve by eliminating the y's \n" ); document.write( ". \n" ); document.write( "1) Multiply the top equation by -225 \n" ); document.write( "-225x + -225y = -191,250 \n" ); document.write( "300x + 225y = 217,500 \n" ); document.write( "------------------------- \n" ); document.write( "Your y's will cancel when you add everything \n" ); document.write( ". \n" ); document.write( "75x = 26,250 \n" ); document.write( "x = 350 \n" ); document.write( ". \n" ); document.write( "2) plug your x-value back into the top equation \n" ); document.write( "350 + y = 850 \n" ); document.write( "y = 500 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "=================================================== \n" ); document.write( "You end up with 350 douglass firs and 500 ponderosa pine trees. \n" ); document.write( ". \n" ); document.write( "If you need further explanation, just let me know. \n" ); document.write( " |