document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=49368>Question 49368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Anna has 12 bills in her wallet, some $5 and some $10.  The total value of the bills is $100.  How many of each bill does Anna have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32805 by </B><A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><B>aaaaaaaa(138)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><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=32805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> number of $5 bills = x<BR>\n" );
document.write( "number of $10 bills = y\r<BR>\n" );
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document.write( "We conclude that:\r<BR>\n" );
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document.write( "value of $5 bills = 5x<BR>\n" );
document.write( "value of $10 bills = 10y\r<BR>\n" );
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document.write( "Therefore:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%285x+%2B+10y+=+100%2C+x+%2B+y+=+12%29 ALIGN=MIDDLE  ALT=\"system%285x+%2B+10y+=+100%2C+x+%2B+y+=+12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <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++++5%5Cx+%2B+10%5Cy+=+100%2C%0D%0A++++1%5Cx+%2B+1%5Cy+=+12+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++5%5Cx+%2B+10%5Cy+=+100%2C%0D%0A++++1%5Cx+%2B+1%5Cy+=+12+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 10*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Ax+=+100+-+10%2Ay ALIGN=MIDDLE  ALT=\"5%2Ax+=+100+-+10%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+100%2F5+-+10%2Ay%2F5 ALIGN=MIDDLE  ALT=\"x+=+100%2F5+-+10%2Ay%2F5\"   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=1%2A%28100%2F5+-+10%2Ay%2F5%29+%2B+1%5Cy+=+12 ALIGN=MIDDLE  ALT=\"1%2A%28100%2F5+-+10%2Ay%2F5%29+%2B+1%5Cy+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=8. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+100%2F5+-+10%2Ay%2F5 ALIGN=MIDDLE  ALT=\"x+=+100%2F5+-+10%2Ay%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=4.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=4%2C+y=8+%29 ALIGN=MIDDLE  ALT=\"system%28+x=4%2C+y=8+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  </TD></TR>\n" );
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document.write( " </SPAN>\n" );
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