document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384060>Question 384060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man invests $5000 in two different accounts. The first account has a 5% annual interest rate<BR>\n" );
document.write( "and the second account has a 3% annual interest rate. If he receives $212.50 in interest at the<BR>\n" );
document.write( "end of the year, how much money did he put into each account? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271850 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=271850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man invests $5000 in two different accounts. The first account has a 5% annual interest rate<BR>\n" );
document.write( "and the second account has a 3% annual interest rate. If he receives $212.50 in interest at the<BR>\n" );
document.write( "end of the year, how much money did he put into each account?<BR>\n" );
document.write( "..<BR>\n" );
document.write( "5% -------------- $x<BR>\n" );
document.write( "3%--------------- $y<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x+y = 5000...................1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "5x+3y=21250.................2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "multiply (1) by -5<BR>\n" );
document.write( "-5x-5y=-25000<BR>\n" );
document.write( "add it to (2)<BR>\n" );
document.write( "5x-5x+3y-5y=-25000+21250<BR>\n" );
document.write( "-2y= -3750<BR>\n" );
document.write( "/-2<BR>\n" );
document.write( "y= $1,875 @ 3%<BR>\n" );
document.write( "balance $3125 @ 5%<BR>\n" );
document.write( "..<BR>\n" );
document.write( "CHECK<BR>\n" );
document.write( "(1875*3+3125*5)/100 = 212.50<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );