document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30799>Question 30799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Diffence between two loans is $10000, both loans have 5% annual interest rate.  If the total interest is $2000 after one year how much was each loan? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17514 by </B><A HREF=/tutors/aboutme.mpl?userid=Fermat><B>Fermat(136)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fermat><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=Fermat><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the two loans L1 and L2. with L1 > L2<BR>\n" );
document.write( "Then, L1 - L2 = 10,000<BR>\n" );
document.write( "commom interest rate = 5%<BR>\n" );
document.write( "I1 = interest on L1<BR>\n" );
document.write( "I2 = interest on L2<BR>\n" );
document.write( "I1 = %5*L1 = 0.05L1<BR>\n" );
document.write( "I2 = %5*L2 = 0.05L2<BR>\n" );
document.write( "I1 + I2 = 2000<BR>\n" );
document.write( ".: 0.05L1 + 0.05L2 = 2000<BR>\n" );
document.write( "0.05(L1 + L2) = 2000<BR>\n" );
document.write( "dividing both sides by 0.05<BR>\n" );
document.write( "L1 + L2 = 40,000 ----------------(1)<BR>\n" );
document.write( "but<BR>\n" );
document.write( "L1 - L2 = 10,000 ----------------(2)<BR>\n" );
document.write( "adding (1) and (2),<BR>\n" );
document.write( "2L1 = 50,000<BR>\n" );
document.write( "L1 = 25,000<BR>\n" );
document.write( "===========<BR>\n" );
document.write( "L2 = 15,000<BR>\n" );
document.write( "=========== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );