document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70052>Question 70052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please show me the step by step process in solving this type of problem?  Thanks a bunch.  \r<BR>\n" );
document.write( "\n" );
document.write( "Terri Hoelker invested some money at 3.5% simple interest, and $5000 more than 3 times this amount at 4%.  She earned $1440 in interest.  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 #49894 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=49894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "I AM ASSUMING THAT SHE INVESTED HER MONEY FOR 1 YEAR\r<BR>\n" );
document.write( "\n" );
document.write( "Let x= amount invested at 3.5%<BR>\n" );
document.write( "Then 3x+$5000=amount invested at 4%\r<BR>\n" );
document.write( "\n" );
document.write( "INTEREST(I)=PRINCIPAL (P) TIMES RATE(R) TIMES TIME(T) or I=PRT<BR>\n" );
document.write( "So our equation to solve is:<BR>\n" );
document.write( "0.035x+0.04(3x+5000)=1440  get rid of parens<BR>\n" );
document.write( "0.035x+0.12x+200=1440  subtract 200 from both sides<BR>\n" );
document.write( "0.155x=1440-200<BR>\n" );
document.write( "0.155x=1240  divide both sides by 0.155<BR>\n" );
document.write( "x=$8000--------------------------amount invested at 3.5%<BR>\n" );
document.write( "3x+5000=24000+5000=29000----------------------amount invested at 4%\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "0.035(8000)+0.04(29000)=1440<BR>\n" );
document.write( "280+1160=1440<BR>\n" );
document.write( "1440=1440\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps----ptaylor\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );