document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136710>Question 136710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To stimulate his son in the pursuit of mathematics a math professor offered to pay is son $8 for every equation correctly solved and to fine him $5 for every incorrect solution. At the end of 26 problems, neither owed any money to the other. How many did the boy solve correctly? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100107 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=100107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let C = the number of correct solutions and I = the number of incorrect soltion.<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2BI+=+26 ALIGN=MIDDLE  ALT=\"C%2BI+=+26\"   DISABLED_style= \"max-width:90%; height:auto;\" > The total number of problems is 26.<BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%288%29+-+I%285%29+=+0 ALIGN=MIDDLE  ALT=\"C%288%29+-+I%285%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > $8 times the number of correct solutions minus $5 times the number of incorrect solutions is zero.<BR>\n" );
document.write( "Rewrite equation 1) as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I+=+26-C ALIGN=MIDDLE  ALT=\"I+=+26-C\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute into equation 2):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%288%29-%2826-C%295+=+0 ALIGN=MIDDLE  ALT=\"C%288%29-%2826-C%295+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for C.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8C-%28130-5C%29+=+0 ALIGN=MIDDLE  ALT=\"8C-%28130-5C%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13C-130+=+0 ALIGN=MIDDLE  ALT=\"13C-130+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 130 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13C+=+130 ALIGN=MIDDLE  ALT=\"13C+=+130\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 13.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+10 ALIGN=MIDDLE  ALT=\"C+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > The number of correctly solved problems is 10.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%288%29-16%285%29+=+80-80 ALIGN=MIDDLE  ALT=\"10%288%29-16%285%29+=+80-80\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );