document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182488>Question 182488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Helen invested $10,000 in an account that pays 10% simple interest. How much additional money must be invested in an account that pays 13% simple interest so that the average return on the two investments amounts to 11%? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136979 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=136979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x=amount invested at 13%<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x+10000=total money invested\r<BR>\n" );
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document.write( "(0.10)10000+0.13x=0.11(x+10000)<BR>\n" );
document.write( "1000+0.13x=0.11x+1100<BR>\n" );
document.write( "0.13x=0.11x+100<BR>\n" );
document.write( "0.02x=100<BR>\n" );
document.write( "2x=10000<BR>\n" );
document.write( "x=$5000\r<BR>\n" );
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document.write( "To get an average 11% return, Helen must invest $5000 at 13%\r<BR>\n" );
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document.write( "Power up,<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );