document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=259815>Question 259815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mountainside Fleece sold 40 neck warmers.  Solid color warmers sold for $9.90 each and colored ones sold for $12.75 each.  In all $421.65 was collected.  How many of each were sold?! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191294 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=191294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let C = colored, and S = solid<BR>\n" );
document.write( "We create two equations from the given<BR>\n" );
document.write( "(i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+%2B+C+=+40 ALIGN=MIDDLE  ALT=\"S+%2B+C+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(ii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9.90S+%2B+12.75C+=+421.65 ALIGN=MIDDLE  ALT=\"9.90S+%2B+12.75C+=+421.65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First get rid of the decimals in (ii) and write<BR>\n" );
document.write( "(iii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=990S+%2B+1275C+=+42165 ALIGN=MIDDLE  ALT=\"990S+%2B+1275C+=+42165\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "step 1 - solve (i) for S and we get<BR>\n" );
document.write( "(iv) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+40-S ALIGN=MIDDLE  ALT=\"C+=+40-S\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 2 - substitute (iv) into (iii) to get<BR>\n" );
document.write( "(v) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=990S+%2B+1275%2840-S%29+=+42165 ALIGN=MIDDLE  ALT=\"990S+%2B+1275%2840-S%29+=+42165\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "distribute and simplify to get<BR>\n" );
document.write( "(vi) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-285S+%2B+51000+=+42165 ALIGN=MIDDLE  ALT=\"-285S+%2B+51000+=+42165\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract to get<BR>\n" );
document.write( "(vii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-285S+=+-8835 ALIGN=MIDDLE  ALT=\"-285S+=+-8835\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+31 ALIGN=MIDDLE  ALT=\"S+=+31\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so, we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+9 ALIGN=MIDDLE  ALT=\"C+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );