document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=293438>Question 293438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tickets for a show cost $6.00 for adults and $4.50 for children. 400 tickets were sold for a total of $2100. How many adult tickets and how many childrens tickets 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 #211841 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=211841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "We can set up 2 equations and solve it from there. Let \"x\" be adults and \"y\" represent children.<BR>\n" );
document.write( "x+y=400<BR>\n" );
document.write( "6x+4.5y=2100<BR>\n" );
document.write( "Multiply the first equation by -6 and add it to the second equation:<BR>\n" );
document.write( "-6x-6y=-2400<BR>\n" );
document.write( "6x+4.5y=2100<BR>\n" );
document.write( "This will give us:<BR>\n" );
document.write( "-1.5y=-300 Divide each side by -1.5 to get:<BR>\n" );
document.write( "y=200 children tickets. Now plug this into the first equation to find x:<BR>\n" );
document.write( "x=200 adult tickets<BR>\n" );
document.write( "Make sense?<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );