document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214148>Question 214148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the Mr. Arlington contest, there were 206 more tickets sold at the door than were sold in advance. The tickets sold at the door cost $10 and the tickets sold in advance cost $6. The total amount of sales for both types of tickets was $6828. How many of each type of ticket was sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162459 by </B><A HREF=/tutors/aboutme.mpl?userid=elima4><B>elima4(15)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=elima4><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=162459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> d = door tickets<BR>\n" );
document.write( "a = advanced<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "d = 206 + a<BR>\n" );
document.write( "10d+ 6a = 6828<BR>\n" );
document.write( "since we already have what d =, plug that into the second equation;\r<BR>\n" );
document.write( "\n" );
document.write( "10(206 + a)+6a = 6828<BR>\n" );
document.write( "2060 + 10a + 6a = 6828<BR>\n" );
document.write( "Collect like terms and subtract 2060 from both sides;<BR>\n" );
document.write( "16a = 4768<BR>\n" );
document.write( "a= 298<BR>\n" );
document.write( "Now plug that into the first equation;<BR>\n" );
document.write( " d = 206 + 298<BR>\n" );
document.write( "d = 504<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Door tickets = 504<BR>\n" );
document.write( "advanced tickets = 298<BR>\n" );
document.write( ":) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );