document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167816>Question 167816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mixing investments. Helen invested $40,000 and received a total of $ 2300 in interest after one year. If part of the money returned 5% and the remainder 8%, then how much did she invest at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123716 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=123716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     Mixing investments. Helen invested $40,000 and received a total of $ 2300 in interest after one year. If part of the money returned 5% and the remainder 8%, then how much did she invest at each rate?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let x = amount invested at 5%<BR>\n" );
document.write( "then<BR>\n" );
document.write( "40000-x = amount invested at 8%<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Because we were given the total interest earned:<BR>\n" );
document.write( "2300 = .05x + .08(40000-x)<BR>\n" );
document.write( "2300 = .05x + 3200 - .08x<BR>\n" );
document.write( "2300 = 3200 - .03x<BR>\n" );
document.write( "2300 + .03x = 3200<BR>\n" );
document.write( ".03x = 900<BR>\n" );
document.write( "x = $30,000 (invested at 5%)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Amount invested at 8%:<BR>\n" );
document.write( "40000-x = 40000-30000 = $10,000 (invested at 8%) <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );