document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86342>Question 86342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following word problems.  Be sure to show the equation you use for the solution.\r<BR>\n" );
document.write( "\n" );
document.write( "Business and finance.  There are 850 Douglas fir and ponderosa pine trees in a section of forest bought by Sawz Logging Co.  The company paid an average 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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62483 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=62483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of Douglas Firs that was bought<BR>\n" );
document.write( "Then 850-x=number of Ponderosa Pines that was bought\r<BR>\n" );
document.write( "\n" );
document.write( "Cost of the Douglas Firs=$300x<BR>\n" );
document.write( "Cost of the Ponderosas=$225(850-x)\r<BR>\n" );
document.write( "\n" );
document.write( "Now we are told that the total cost of the trees is $217,500.  So our equation to solve is:\r<BR>\n" );
document.write( "\n" );
document.write( "$300x+$225(850-x)=$217,500  divide each term by 25 (reduce size of numbers) \r<BR>\n" );
document.write( "\n" );
document.write( "$12x+$9(850-x)=$8700  ger rid of parens\r<BR>\n" );
document.write( "\n" );
document.write( "$12x+$7650-$9x=$8700  subtract $7650 from both sides\r<BR>\n" );
document.write( "\n" );
document.write( "$12x+$7650-$7650-$9x=$8700-$7650  collect like terms\r<BR>\n" );
document.write( "\n" );
document.write( "$3x=$1050  divide both sides by $3\r<BR>\n" );
document.write( "\n" );
document.write( "x=350-------------------------------number of Douglas Fir's that was bought\r<BR>\n" );
document.write( "\n" );
document.write( "850-x=850-350=500-----------------number of Ponderosa Pines that was bought\r<BR>\n" );
document.write( "\n" );
document.write( "CK\r<BR>\n" );
document.write( "\n" );
document.write( "$300(350)+$225(500)=$217,500\r<BR>\n" );
document.write( "\n" );
document.write( "$105,000+$112,500=$217,500\r<BR>\n" );
document.write( "\n" );
document.write( "$217,500=$217,500\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps----ptaylor\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );