document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028038>Question 1028038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During strenuous exercise an athlete can burn 12 calories per minute on the treadmill and 8.5 calories per minute on the elliptical. The athlete uses both machines and burns 325 calories in 30 minutes. How many minutes does the athlete spend on each machine? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643216 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "Make treadmill = x<BR>\n" );
document.write( "and elliptical = y<BR>\n" );
document.write( "x + y = 30............(1)<BR>\n" );
document.write( "12x + 8.5y = 325......(2)<BR>\n" );
document.write( "Multiply Eq(1) by 8.5<BR>\n" );
document.write( "8.5x + 8.5y = 255.....(1)<BR>\n" );
document.write( "12x + 8.5y = 325......(20<BR>\n" );
document.write( "Subtract Eq(1) from Eq(2)<BR>\n" );
document.write( "3.5x = 70<BR>\n" );
document.write( "x = 20<BR>\n" );
document.write( "Substitute x = 20 into<BR>\n" );
document.write( "Eq(1)<BR>\n" );
document.write( "x + y = 30<BR>\n" );
document.write( "20 + y = 30 <BR>\n" );
document.write( "y = 30 - 20<BR>\n" );
document.write( "y = 10<BR>\n" );
document.write( "The athlete spends 20 minutes<BR>\n" );
document.write( "on the treadmill and 10 minutes <BR>\n" );
document.write( "on the elliptical.<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );