document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=371167>Question 371167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Larry has $20,000 in student loans. Part of this amount is at 4% simple interest the rest is at 6% simple interest. At the end of the first year the interest chargers were $920. Find the amount Larry borrowed at each rate. (Note: Larry did not make any payments on his loan the first year.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264482 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=264482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be @6%<BR>\n" );
document.write( "y @ 4%<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x+y =20000......................1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "0.06x+0.04y=920<BR>\n" );
document.write( "multiply by 100<BR>\n" );
document.write( "6x+4y=92000......................2<BR>\n" );
document.write( "multiply (1) by -6<BR>\n" );
document.write( "-6x-6y=-120000<BR>\n" );
document.write( "add this to (2)<BR>\n" );
document.write( "-6x+6x-6y+4y=-120000+92000<BR>\n" );
document.write( "-2y=-28,000<BR>\n" );
document.write( "/-2<BR>\n" );
document.write( "y=14,000 amount @ 4%<BR>\n" );
document.write( "balance $6000 @ 6%<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );