document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944936>Question 944936</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dmitri's two student loans total $9000. One loan is at 4.5% simple interest and the other is at 5.5% simple interest. At the end of 1 year, Dmitri owes $447 in interest. What is the amount of each loan. \r<BR>\n" );
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document.write( "Any help or feedback would be greatly appreciated as I don't know how to solve this problem.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576196 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=576196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let L=loan amount at lower rate:H=loan amount at higher rate<BR>\n" );
document.write( "L+H=$9000;L=$9000-H<BR>\n" );
document.write( "0.045L+0.055H=$447 Substitute for L and solve for H<BR>\n" );
document.write( "0.045($9000-H)+.055H=$447<BR>\n" );
document.write( "0.045($9000)-0.045H+.055H=$447<BR>\n" );
document.write( "$405+.01H=$447 Subtract $405 from each side<BR>\n" );
document.write( "0.01H=$42 Multiply each side by 100<BR>\n" );
document.write( "H=$4200 ANSWER 1: The higher rate loan was for $4200<BR>\n" );
document.write( "L=$9000-$4200=$4800 ANSWER 2: The lower rate loan was for $4800<BR>\n" );
document.write( "CHECK<BR>\n" );
document.write( "0.045($4800)+0.055($4200)=$447<BR>\n" );
document.write( "$216+$231=$447<BR>\n" );
document.write( "$447=$447 </SPAN>\n" );
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