document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249209>Question 249209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A local charity is having a concert to raise money. They offer three types of tickets: patron, sponsor, and donor. They sell 326 tickets all together, charging $10, $5, and $2.50 respectively and bringing in $1432.50. The number patron and sponsor tickets together is 24 less than the number of donor tickets. How many of each type did they sell? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181552 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=181552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p=patron tickets<BR>\n" );
document.write( "s=sponsor ticket<BR>\n" );
document.write( "d=donor ticket<BR>\n" );
document.write( "p+s=d-24<BR>\n" );
document.write( "p+s+d=326<BR>\n" );
document.write( "substitute p+s=d-24<BR>\n" );
document.write( "d-24+d=326<BR>\n" );
document.write( "2d=350<BR>\n" );
document.write( "d=175<BR>\n" );
document.write( "p+s=175-24=151<BR>\n" );
document.write( "10p+5s+2.5d=1432.50<BR>\n" );
document.write( "10p+5s+2.5(175)=1432.50<BR>\n" );
document.write( "s=2(99.5-p)<BR>\n" );
document.write( "2(99.5-p)<BR>\n" );
document.write( "p+2(99.5-p)=151 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );