document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=363007>Question 363007</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company manufactures both mountain bikes and trail bikes.The cost of materials for a mountain bike is $70, and the cost of materials for a trail bike is $50. The cost of labor to manufacture a trail bike is $80, and the cost of labor to manufacture a trail bike is $40. During a week in which the company has budgeted $2500 for materials and $2600 for labor, how many mountain bikes does the company plan to manufacture? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258738 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=258738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> materials for a mountain bike is $70,<BR>\n" );
document.write( "cost of materials for a trail bike is $50. <BR>\n" );
document.write( "cost of labor to manufacture a mountain bike is $80,<BR>\n" );
document.write( "cost of labor to manufacture a trail bike is $40. <BR>\n" );
document.write( "..<BR>\n" );
document.write( "budgeted $2500 for materials <BR>\n" );
document.write( "$2600 for labor, <BR>\n" );
document.write( "...<BR>\n" );
document.write( "let x be mountain bikes<BR>\n" );
document.write( "y be trail bikes<BR>\n" );
document.write( "..<BR>\n" );
document.write( "70x+50y=2500.......................1<BR>\n" );
document.write( "80x+40y=2600.......................2<BR>\n" );
document.write( "...<BR>\n" );
document.write( "multiply equation 1 by -8 & equation 2 by 7<BR>\n" );
document.write( "-560x-400y=-20000<BR>\n" );
document.write( "560x+280y=18200<BR>\n" );
document.write( "add the two<BR>\n" );
document.write( "-120y= -1800<BR>\n" );
document.write( "/-120<BR>\n" );
document.write( "y=1800/-120 <BR>\n" );
document.write( "y =15 trail bikes<BR>\n" );
document.write( "plug the value of y <BR>\n" );
document.write( "70x+50*15=2500<BR>\n" );
document.write( "70x=2500-750<BR>\n" );
document.write( "70x=1750<BR>\n" );
document.write( "x= 25 mountain bikes<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );