document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=52685>Question 52685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Stan invested $17,000, part at 18% and part at 4%. If the total interest at the end of the year is $1,380, how much did he 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 #35162 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=35162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the amount of principle invested at 18%=x<BR>\n" );
document.write( "Then the amount invested at 4% would be 17,000-the amount he invested at 18%=17,000-x<BR>\n" );
document.write( "time = 1<BR>\n" );
document.write( "interest=1,380<BR>\n" );
document.write( "Interest = principle*rate*time<BR>\n" );
document.write( "1,380=.18x+.04(17,000-x)Multiply both sides by 100 to clear the decimals.<BR>\n" );
document.write( "100(1,380)=100(.18x+.04(17,000-x)) <BR>\n" );
document.write( "100(1,380)=100(.18x)+100(.04)(17,000-x)<BR>\n" );
document.write( "138,000=18x+4(17,000-x)<BR>\n" );
document.write( "138,000=18x+4(17,000)+4(-x)<BR>\n" );
document.write( "138,000=18x+68,000-4x<BR>\n" );
document.write( "138,000=(18-4)x+68,000<BR>\n" );
document.write( "138,000=14x+68,000<BR>\n" );
document.write( "138,000-68,000=14x+68,000-68,000<BR>\n" );
document.write( "70,000=14x<BR>\n" );
document.write( "70,000/14=14x/14<BR>\n" );
document.write( "5,000=x<BR>\n" );
document.write( "There was $5,000 invested at 18%<BR>\n" );
document.write( "There was 17,000-5,000=$12,000 invested at 4% </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );