document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55083>Question 55083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Stan invested $5,000, part at 8% and part at 17%.  If the total interest at the end of the year is $490, how much did he invest at 8%? I got 3000.00 is this correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37322 by </B><A HREF=/tutors/aboutme.mpl?userid=Hook><B>Hook(36)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Hook><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=37322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Big picture...why didn't Stan invest all his money at 17%? Don't take investment advice from Stan. \r<BR>\n" );
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document.write( "Ok..let's make up some variables to start:\r<BR>\n" );
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document.write( "We'll call x the amount that Stan invested at 8% and y the amount that he invested at 17%. \r<BR>\n" );
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document.write( "We know he invested 5 bills, so we get the following equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+5000 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+5000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, his combined interest income was $490. So 8% of x plus 17% of y must be $490. In math-speak:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.08x%2B.17y+=+490. ALIGN=MIDDLE  ALT=\".08x%2B.17y+=+490.\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here, we've got the following system of equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+5000 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+5000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.08x%2B.17y+=+490. ALIGN=MIDDLE  ALT=\".08x%2B.17y+=+490.\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'll use the substitution method and solve for x in the first equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+5000 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+5000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5000-y ALIGN=MIDDLE  ALT=\"x+=+5000-y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, I'll plug that into the second equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.08%285000-y%29%2B.17y+=+490 ALIGN=MIDDLE  ALT=\".08%285000-y%29%2B.17y+=+490\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400-.08y%2B.17y+=+490 ALIGN=MIDDLE  ALT=\"400-.08y%2B.17y+=+490\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%2B.09y+=+490 ALIGN=MIDDLE  ALT=\"400%2B.09y+=+490\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.09y+=+90 ALIGN=MIDDLE  ALT=\".09y+=+90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1000 ALIGN=MIDDLE  ALT=\"y+=+1000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Alright! y = 1000! <BR>\n" );
document.write( "if we plug that into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5000-y ALIGN=MIDDLE  ALT=\"x+=+5000-y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5000-1000 ALIGN=MIDDLE  ALT=\"x+=+5000-1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4000 ALIGN=MIDDLE  ALT=\"x+=+4000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Ok. My answers are different than yours. I'll check my work. \r<BR>\n" );
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document.write( "CHECK:<BR>\n" );
document.write( "Using the second original equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.08x%2B.17y+=+490 ALIGN=MIDDLE  ALT=\".08x%2B.17y+=+490\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.08%284000%29+%2B.17%281000%29+=+490 ALIGN=MIDDLE  ALT=\".08%284000%29+%2B.17%281000%29+=+490\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=320+%2B+170+=+490 ALIGN=MIDDLE  ALT=\"320+%2B+170+=+490\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=490+=+490 ALIGN=MIDDLE  ALT=\"490+=+490\"   DISABLED_style= \"max-width:90%; height:auto;\" > Check!\r<BR>\n" );
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document.write( "Stan invested $4000 at 8%. Dumbass. Don't let Stan run your investments.\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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