document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=620173>Question 620173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> admission prices for a football game were $6 for adults and $2 dollars for children the total value of tickets sold was $2528 and 454 tickets were sold. how many adults and children attended the game? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389964 by </B><A HREF=/tutors/aboutme.mpl?userid=dragonwalker><B>dragonwalker(73)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dragonwalker><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=389964\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to find the mean cost of a ticket:\r<BR>\n" );
document.write( "\n" );
document.write( "2528/454 = $5.568\r<BR>\n" );
document.write( "\n" );
document.write( "You want to know how many children's tickets were bought for each single adult ticket to give such a mean, so let us say that for every one adult ticket at $6 't' children's tickets were bought at $2.\r<BR>\n" );
document.write( "\n" );
document.write( "To find the mean we add these together and divide by the number (t + 1) (i.e. number of children's tickets to every one adult plus the one adult ticket). This formula will equal the mean cost so:\r<BR>\n" );
document.write( "\n" );
document.write( "2t + 6/(t+1) = 5.568\r<BR>\n" );
document.write( "\n" );
document.write( "solve for t:\r<BR>\n" );
document.write( "\n" );
document.write( "2t + 6 = 5.568 (t+1)<BR>\n" );
document.write( "2t + 6 = 5.568t + 5.568<BR>\n" );
document.write( "6 - 5.568 = 5.568t - 2t<BR>\n" );
document.write( "0.432 = 3.568t<BR>\n" );
document.write( "t = 0.432/3.568<BR>\n" );
document.write( "t = 0.121\r<BR>\n" );
document.write( "\n" );
document.write( "so for every adult ticket, 0.121 children's tickets were sold. So now we need to find how many of each were sold.\r<BR>\n" );
document.write( "\n" );
document.write( "So let us call the total number of adult tickets 'T' so 0.121T children's tickets are sold. Which would equal the total number 454\r<BR>\n" );
document.write( "\n" );
document.write( "So:<BR>\n" );
document.write( "T + 0.121T = 454<BR>\n" );
document.write( "1.121T = 454<BR>\n" );
document.write( "T = 454/1.121<BR>\n" );
document.write( "T = 405\r<BR>\n" );
document.write( "\n" );
document.write( "so 405 adult tickets were sold and therefore 405 x 0.121 = 49 children's tickets.\r<BR>\n" );
document.write( "\n" );
document.write( "To check multiply the number of tickets by their respective costs and add together:\r<BR>\n" );
document.write( "\n" );
document.write( "(405x6) + (49x2) = 2430 + 98<BR>\n" );
document.write( "=$2528 !!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );