document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950519>Question 950519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a total of $5000 is borrowed from two different loans. One loan charges 10% simple interest, and the other charges 8% simple interest. How much was borrowed at each rate if $424 in interest is charged at the end of 1 year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #580439 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=580439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> T=amount at 105; E=amount at 8%<BR>\n" );
document.write( "E+T=$5000<BR>\n" );
document.write( "T=$5000-E<BR>\n" );
document.write( "0.08E+0.10T=$424 Substtute for T<BR>\n" );
document.write( "0.08E+0.10($5000-E)=$424<BR>\n" );
document.write( "0.08E+$500-0.10E=$424 Subtract $424 from each side.<BR>\n" );
document.write( "-0.02E+$76=0 Add 0.02E to each side.<BR>\n" );
document.write( "$76=0.02E Divide each side by 0.02<BR>\n" );
document.write( "$3800=E ANSWER 1:$3800 was invested at 8%.<BR>\n" );
document.write( "T=$5000-$3800=$1200 ANSWER 2: $1200 was invested at 10%.<BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "0.08E+0.10T=$424<BR>\n" );
document.write( "0.08($3800)+0.10($1200)=$424<BR>\n" );
document.write( "$304+$120=$424<BR>\n" );
document.write( "$424=$424 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );