document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7241>Question 7241</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can not figure out the formula for the folliwng problem.<BR>\n" );
document.write( "Robert inherited $4000 from grandmother. Part was invested at 5% while the rest was invested at 6.5%. The interest for the yearw as $227. How much was invested at 6.5% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4008 by </B><A HREF=/tutors/aboutme.mpl?userid=ichudov><B>ichudov(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ichudov><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=ichudov><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=4008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> say he invested X at 5% and Y at 6.5%. X+Y is 4,000. Interest is 0.05X+0.065Y = 227. \r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++1%5CX+%2B+1%5CY+=+4000%2C%0D%0A++++0.05%5CX+%2B+0.065%5CY+=+227+%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 1*Y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2AX+=+4000+-+1%2AY ALIGN=MIDDLE  ALT=\"1%2AX+=+4000+-+1%2AY\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+=+4000%2F1+-+1%2AY%2F1 ALIGN=MIDDLE  ALT=\"X+=+4000%2F1+-+1%2AY%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05%2A%284000%2F1+-+1%2AY%2F1%29+%2B+0.065%5CY+=+227 ALIGN=MIDDLE  ALT=\"0.05%2A%284000%2F1+-+1%2AY%2F1%29+%2B+0.065%5CY+=+227\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that Y=1800. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+=+4000%2F1+-+1%2AY%2F1 ALIGN=MIDDLE  ALT=\"X+=+4000%2F1+-+1%2AY%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, X=2200.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+X=2200%2C+Y=1800+%29 ALIGN=MIDDLE  ALT=\"system%28+X=2200%2C+Y=1800+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( " </SPAN>\n" );
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