document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=957696>Question 957696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Nancy invested a sum of money at 6%. She invested a second sum, $500 more than the first at 8%. The total interest earned for the year was $180. HOW MUCH DID NANCY 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 #585307 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=585307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> S=amount at 6%; E=amount at 8%=S+$500<BR>\n" );
document.write( "0.06S+0.08E=$180 Substitute for E<BR>\n" );
document.write( "0.06S+0.08(S+$500)=$180<BR>\n" );
document.write( "0.06S+0.08S+$40=$180 Subtract $40 from each side.<BR>\n" );
document.write( "0.14S=$140 Divide each side by 0.14<BR>\n" );
document.write( "S=1000 ANSWER 1: The amount invested at 6% was $1000.<BR>\n" );
document.write( "E=S+$500=$1000+$500=$1500 ANSWER 2: The amount invested at 8% was $1500.<BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "0.06S+0.08E=$180<BR>\n" );
document.write( "0.06($1000)+0.08($1500)=$180 <BR>\n" );
document.write( "$60+$120=$180<BR>\n" );
document.write( "$180=$180 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );