document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009657>Question 1009657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a museum charges $5 for admission tickets, but members receive a 1$ discount and students are admitted for half price. one Saturday, 1050 tickets were sold for a total of $4035. if 35  more students' tickets than full price tickets were sold, find number of each type of tickets sold. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625122 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=625122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of admission tickets sold<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of member tickets sold<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+ ALIGN=MIDDLE  ALT=\"+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of student tickets sold<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+1050+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+1050+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+4b+%2B+2.5c+=+4035+ ALIGN=MIDDLE  ALT=\"+5a+%2B+4b+%2B+2.5c+=+4035+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+a+%2B+35+ ALIGN=MIDDLE  ALT=\"+c+=+a+%2B+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "subtract (2) from (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4a+%2B+4b+%2B+4c+=+4200+ ALIGN=MIDDLE  ALT=\"+4a+%2B+4b+%2B+4c+=+4200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5a+-+4b+-+2.5c+=+-4035+ ALIGN=MIDDLE  ALT=\"+-5a+-+4b+-+2.5c+=+-4035+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-a+%2B+1.5c+=+165+ ALIGN=MIDDLE  ALT=\"+-a+%2B+1.5c+=+165+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2a+%2B+3c+=+330+ ALIGN=MIDDLE  ALT=\"+-2a+%2B+3c+=+330+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (3) into this result<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2a+%2B+3%2A%28+a+%2B+35+%29+=+330+ ALIGN=MIDDLE  ALT=\"+-2a+%2B+3%2A%28+a+%2B+35+%29+=+330+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2a+%2B+3a+%2B+105+=+330+ ALIGN=MIDDLE  ALT=\"+-2a+%2B+3a+%2B+105+=+330+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+225+ ALIGN=MIDDLE  ALT=\"+a+=+225+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+a+%2B+35+ ALIGN=MIDDLE  ALT=\"+c+=+a+%2B+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+225+%2B+35+ ALIGN=MIDDLE  ALT=\"+c+=+225+%2B+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+260+ ALIGN=MIDDLE  ALT=\"+c+=+260+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+1050+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+1050+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+%2B+b+%2B+260+=+1050+ ALIGN=MIDDLE  ALT=\"+225+%2B+b+%2B+260+=+1050+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+%2B+485+=+1050+ ALIGN=MIDDLE  ALT=\"+b+%2B+485+=+1050+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+565+ ALIGN=MIDDLE  ALT=\"+b+=+565+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "225 admission tickets were sold<BR>\n" );
document.write( "565 member tickets were sold<BR>\n" );
document.write( "260 student tickets were sold<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+4b+%2B+2.5c+=+4035+ ALIGN=MIDDLE  ALT=\"+5a+%2B+4b+%2B+2.5c+=+4035+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A225+%2B+4%2A565+%2B+2.5%2A260+=+4035+ ALIGN=MIDDLE  ALT=\"+5%2A225+%2B+4%2A565+%2B+2.5%2A260+=+4035+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1125+%2B+2260+%2B+650+=+4035+ ALIGN=MIDDLE  ALT=\"+1125+%2B+2260+%2B+650+=+4035+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4035+=+4035+ ALIGN=MIDDLE  ALT=\"+4035+=+4035+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );