document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038878>Question 1038878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man has $800 more invested at 4% than at 3%. If the total interest for the two investments is $130. How much is 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 #653599 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=653599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font size=3 color=black>\r<BR>\n" );
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document.write( "x = amount invested at 4%<BR>\n" );
document.write( "y = amount invested at 3%\r<BR>\n" );
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document.write( "<font color=blue>\"A man has $800 more invested at 4% than at 3%\"</font> so we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y%2B800 ALIGN=MIDDLE  ALT=\"x=y%2B800\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The amount of interest earned, in one year, for the 4% account is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A0.04+=+0.04x ALIGN=MIDDLE  ALT=\"x%2A0.04+=+0.04x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The amount of interest earned, in one year, for the 3% account is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2A0.03+=+0.03y ALIGN=MIDDLE  ALT=\"y%2A0.03+=+0.03y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Put together, the total interest is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.04x%2B0.03y ALIGN=MIDDLE  ALT=\"0.04x%2B0.03y\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is set equal to 130 because this is the total interest for the year.\r<BR>\n" );
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document.write( "We have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.04x%2B0.03y=130 ALIGN=MIDDLE  ALT=\"0.04x%2B0.03y=130\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the two equations <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.04x%2B0.03y=130 ALIGN=MIDDLE  ALT=\"0.04x%2B0.03y=130\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y%2B800 ALIGN=MIDDLE  ALT=\"x=y%2B800\"   DISABLED_style= \"max-width:90%; height:auto;\" > to solve for x and y. Start by using substitution. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.04x%2B0.03y=130 ALIGN=MIDDLE  ALT=\"0.04x%2B0.03y=130\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.04%28y%2B800%29%2B0.03y=130 ALIGN=MIDDLE  ALT=\"0.04%28y%2B800%29%2B0.03y=130\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y%2B800 ALIGN=MIDDLE  ALT=\"x=y%2B800\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Solve for y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.04y%2B0.04%2A%28800%29%2B0.03y=130 ALIGN=MIDDLE  ALT=\"0.04y%2B0.04%2A%28800%29%2B0.03y=130\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.04y%2B32%2B0.03y=130 ALIGN=MIDDLE  ALT=\"0.04y%2B32%2B0.03y=130\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.07y%2B32=130 ALIGN=MIDDLE  ALT=\"0.07y%2B32=130\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.07y%2B32-32=130-32 ALIGN=MIDDLE  ALT=\"0.07y%2B32-32=130-32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.07y=98 ALIGN=MIDDLE  ALT=\"0.07y=98\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.07y%2F0.07=98%2F0.07 ALIGN=MIDDLE  ALT=\"0.07y%2F0.07=98%2F0.07\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1400 ALIGN=MIDDLE  ALT=\"y=1400\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now that we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1400 ALIGN=MIDDLE  ALT=\"y=1400\"   DISABLED_style= \"max-width:90%; height:auto;\" >, use this to find x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y%2B800 ALIGN=MIDDLE  ALT=\"x=y%2B800\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1400%2B800 ALIGN=MIDDLE  ALT=\"x=1400%2B800\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2200 ALIGN=MIDDLE  ALT=\"x=2200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2200 ALIGN=MIDDLE  ALT=\"x=2200\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1400 ALIGN=MIDDLE  ALT=\"y=1400\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Final Answer: \r<BR>\n" );
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document.write( "<font color=red>$2,200</font> was invested at 4%<BR>\n" );
document.write( "<font color=red>$1,400</font> was invested at 3%\r<BR>\n" );
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document.write( "</font> </SPAN>\n" );
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