document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174417>Question 1174417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> rob's school is selling tickets to a play.on the first day of ticket sales the school sold 9 adult tickets and 8 child tickets for a total of $145. the school took in $82 on the second day by selling 2 adult tickets and 8 child tickets.what is the price each of one adult ticket and one child ticket? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799886 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=799886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Formally....<br><BR>\n" );
document.write( "x = cost of each child ticket<BR>\n" );
document.write( "y = cost of each adult ticket<br><BR>\n" );
document.write( "9x+8y = 145  (1st day total sales)<BR>\n" );
document.write( "2x+8y = 82  (2nd day total sales)<br><BR>\n" );
document.write( "Solve by subtracting the second equation from the first, giving<BR>\n" );
document.write( "7x = 63<br><BR>\n" );
document.write( "Use that to find the cost of each adult ticket, x; then use that value with the total sales for either day to find the cost of each child ticket.<br><BR>\n" );
document.write( "That's a simple example of an algebraic solution.  You can get the answer informally by doing exactly the same calculations without the formal algebra.<br><BR>\n" );
document.write( "9 adult tickets and 8 child tickets for $145, and 2 adult tickets and 8 child tickets for $82, means 9-2=7 adult tickets cost $145-$82 = $63.<BR>\n" );
document.write( "7 adult tickets for $63 means $63/7 = $9 for each one.<BR>\n" );
document.write( "2 adult tickets and $9 each, for a total of $18, plus 8 child tickets for a total of $82, means 8 child tickets for $82-$18 = $64<BR>\n" );
document.write( "8 child tickets for $64 means $64/8 = $8 for each one.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );