document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152834>Question 152834</A>: <I><SPAN STYLE=\"word-break: break-all;\">   Paint Town sold 45 paintbrushes, one kind at $8.50 each and another at $9.75 each. In all, $398.75 was taken in for the brushes. How many of each kind were sold?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112320 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's call the number of $8.50 paintbrushes, E.<BR>\n" );
document.write( "Let's call the number of $9.75 paintbrushes, N.<BR>\n" );
document.write( "\"Paint Town sold 45 paintbrushes\"<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%2BN=45 ALIGN=MIDDLE  ALT=\"E%2BN=45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"In all, $398.75 was taken in for the brushes\"<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.50%2AE%2B9.75%2AN=398.75 ALIGN=MIDDLE  ALT=\"8.50%2AE%2B9.75%2AN=398.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use eq. 1 to solve for E as a function of N.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%2BN=45 ALIGN=MIDDLE  ALT=\"E%2BN=45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=45-N ALIGN=MIDDLE  ALT=\"E=45-N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substitute that expression into eq. 2 and solve for N.<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.50%2AE%2B9.75%2AN=398.75 ALIGN=MIDDLE  ALT=\"8.50%2AE%2B9.75%2AN=398.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.50%2A%2845-N%29%2B9.75%2AN=398.75 ALIGN=MIDDLE  ALT=\"8.50%2A%2845-N%29%2B9.75%2AN=398.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's multiply both sides by 100 to get rid of the decimal.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=850%2A%2845-N%29%2B975%2AN=39875 ALIGN=MIDDLE  ALT=\"850%2A%2845-N%29%2B975%2AN=39875\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38250-850N%2B975N=39875 ALIGN=MIDDLE  ALT=\"38250-850N%2B975N=39875\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125N=1625 ALIGN=MIDDLE  ALT=\"125N=1625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28N=13%29 ALIGN=MIDDLE  ALT=\"highlight%28N=13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From above,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=45-N ALIGN=MIDDLE  ALT=\"E=45-N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=45-13 ALIGN=MIDDLE  ALT=\"E=45-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28E=32%29 ALIGN=MIDDLE  ALT=\"highlight%28E=32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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