document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=223736>Question 223736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A civic center auditorium has three types of seating front floor rear floor and balcony. Front floor tickets cost $40 while rear floor tickets cost $30, and balcony tickets cost $20 each. If 225 tickets are sold and receipts total $7000 find the number of ticket sold for each type of seating when there are twice as many front floor tickets sold as rea floor tickets.<BR>\n" );
document.write( "Here is what I have..x+y+z=225<BR>\n" );
document.write( "                     40x+30y+20z=7000<BR>\n" );
document.write( "                        2y=z..now what? Thanks for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167305 by </B><A HREF=/tutors/aboutme.mpl?userid=MLipsky><B>MLipsky(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MLipsky><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=167305\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are off to a really good start.  One small correction: I think your third equation should be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=y ALIGN=MIDDLE  ALT=\"2x=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's see if that makes sense.  There are twice as many front floor tickets.  So, \"x\" is the larger number.  My formulas says \"2 times larger number equals smaller number\".  No!  The formula is still wrong.  It should be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2y ALIGN=MIDDLE  ALT=\"x=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, using your equations, that gives us:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=225 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40x%2B30y%2B20z=7000 ALIGN=MIDDLE  ALT=\"40x%2B30y%2B20z=7000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2y ALIGN=MIDDLE  ALT=\"x=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This looks like a system of 3 equations, with 3 unknowns.  So we can solve it that way.  But wait!  Look at that third equation.  If we start plugging it in to the other two, this whole problem gets a LOT easier.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y%29%2By%2Bz=225 ALIGN=MIDDLE  ALT=\"%282y%29%2By%2Bz=225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%282y%29%2B30y%2B20z=7000 ALIGN=MIDDLE  ALT=\"40%282y%29%2B30y%2B20z=7000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, we only have 2 variables!  Very cool.  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simplify first equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2Bz=225 ALIGN=MIDDLE  ALT=\"3y%2Bz=225\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simplify second equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80y%2B30y%2B20z=7000 ALIGN=MIDDLE  ALT=\"80y%2B30y%2B20z=7000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=110y%2B20z=7000 ALIGN=MIDDLE  ALT=\"110y%2B20z=7000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11y%2B2z=700 ALIGN=MIDDLE  ALT=\"11y%2B2z=700\"   DISABLED_style= \"max-width:90%; height:auto;\" > (divided by 10)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now we have 2 equations.  Let's solve by substitution.  Since we can easily solve for \"z\" in the first equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=225-3y ALIGN=MIDDLE  ALT=\"z=225-3y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we might as well substitute that into the second equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11y%2B2%28225-3y%29=700 ALIGN=MIDDLE  ALT=\"11y%2B2%28225-3y%29=700\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11y%2B450-6y=700 ALIGN=MIDDLE  ALT=\"11y%2B450-6y=700\"   DISABLED_style= \"max-width:90%; height:auto;\" > (distributed 2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2B450=700 ALIGN=MIDDLE  ALT=\"5y%2B450=700\"   DISABLED_style= \"max-width:90%; height:auto;\" > (combined like terms \"y\")<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=250 ALIGN=MIDDLE  ALT=\"5y=250\"   DISABLED_style= \"max-width:90%; height:auto;\" > (subtracted 450 from both sides)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=50 ALIGN=MIDDLE  ALT=\"y=50\"   DISABLED_style= \"max-width:90%; height:auto;\" > (divided both sides by 5)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's start using the other formulas to help us get \"x\" and \"z\".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2y ALIGN=MIDDLE  ALT=\"x=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" > (previous formula)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2850%29 ALIGN=MIDDLE  ALT=\"x=2%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=100 ALIGN=MIDDLE  ALT=\"x=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > That was fast!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=225-3y ALIGN=MIDDLE  ALT=\"z=225-3y\"   DISABLED_style= \"max-width:90%; height:auto;\" > (previous formula)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=225-3%2850%29 ALIGN=MIDDLE  ALT=\"z=225-3%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=225-150 ALIGN=MIDDLE  ALT=\"z=225-150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=75 ALIGN=MIDDLE  ALT=\"z=75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Shazam!  It worked.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<hr />For tutoring, please visit <a  rel=nofollow HREF=\"http://www.mathlocker.com\"><IMG STYLE=\"max-width:80%;\" src=\" http://www.mathlocker.com/images/math_locker_logo.jpg\" /></a><hr /><br /> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );