document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102484>Question 102484</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131492624/algebrahomeworkh>Introductory Algebra for College Students</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I need help setting up the following problem:<BR>\n" );
document.write( "You invest $6000 in two accounts payinhg 6% and 9% annual interest, respectively. At the end of the year, the accounts earn the same interest. How much was invested 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 #74502 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help setting up the following problem:<BR>\n" );
document.write( "You invest $6000 in two accounts payinhg 6% and 9% annual interest, respectively. At the end of the year, the accounts earn the same interest. How much was invested at each rate?\r<BR>\n" );
document.write( "\n" );
document.write( "Let's say you invest X at 6% and Y at 9%. <BR>\n" );
document.write( "You know that <BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%2BY=6000 ALIGN=MIDDLE  ALT=\"X%2BY=6000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You also know that the interest for each is the same<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%5Bx%5D=X%2A6%2F100=INT ALIGN=MIDDLE  ALT=\"I%5Bx%5D=X%2A6%2F100=INT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%5By%5D=Y%2A9%2F100=INT ALIGN=MIDDLE  ALT=\"I%5By%5D=Y%2A9%2F100=INT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Set them equal to each other.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%2A6%2F100=Y%2A9%2F100 ALIGN=MIDDLE  ALT=\"X%2A6%2F100=Y%2A9%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%2A6=Y%2A9 ALIGN=MIDDLE  ALT=\"X%2A6=Y%2A9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you have two equations with two unknowns (X and Y).<BR>\n" );
document.write( "Use Equation (2) and solve for X.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=9%2AY%2F6=3%2AY%2F2 ALIGN=MIDDLE  ALT=\"X=9%2AY%2F6=3%2AY%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute into Equation (1)<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%2BY=6000 ALIGN=MIDDLE  ALT=\"X%2BY=6000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2AY%2F2%2BY=6000 ALIGN=MIDDLE  ALT=\"3%2AY%2F2%2BY=6000\"   DISABLED_style= \"max-width:90%; height:auto;\" >Substitute<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2AY%2B2%2AY=12000 ALIGN=MIDDLE  ALT=\"3%2AY%2B2%2AY=12000\"   DISABLED_style= \"max-width:90%; height:auto;\" >Multiply both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2AY=12000 ALIGN=MIDDLE  ALT=\"5%2AY=12000\"   DISABLED_style= \"max-width:90%; height:auto;\" >Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%285%29%2AY%2Fcross%285%29=12000%2F5 ALIGN=MIDDLE  ALT=\"cross%285%29%2AY%2Fcross%285%29=12000%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >Multiplicative inverse of 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=2400 ALIGN=MIDDLE  ALT=\"Y=2400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use equation (1) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%2BY=6000 ALIGN=MIDDLE  ALT=\"X%2BY=6000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=3600 ALIGN=MIDDLE  ALT=\"X=3600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$3600 invested at 6%.<BR>\n" );
document.write( "$2400 invested at 9%.<BR>\n" );
document.write( "$216 made by each account.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );