document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203891>Question 1203891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The local theater group anticipates that it can sell about 450 adult tickets and 700 student tickets for an upcoming show. The price of adult tickets will be $3 more than the price of student tickets. How much should each ticket cost if they intend to take in $9,400 from ticket sales? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839798 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13209)</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=839798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The 450 adult tickets, each costing $3 more than a student ticket, bring in an \"additional\" 450($3) = $1350.<br><BR>\n" );
document.write( "So the total of $9400 can be thought of as 450+700 = 1150 tickets costing the same amount, plus the additional $1350.  That means the 1150 tickets that each cost the same sell for a total of $9400-$1350 = $8050.  The cost for each of them is then $8050/1150 = $7.<br><BR>\n" );
document.write( "ANSWER: The student tickets should cost $7 each, the adult tickets $7+$3 = $10 each.<br><BR>\n" );
document.write( "Solving the problem in exactly the same way using formal algebra looks like this:<br><BR>\n" );
document.write( "x = cost of a student ticket<BR>\n" );
document.write( "x+3 = cost of an adult ticket<br><BR>\n" );
document.write( "700(x)+450(x+3) = 9400<BR>\n" );
document.write( "700x+450x+1350 = 9400<BR>\n" );
document.write( "1150x = 8050<BR>\n" );
document.write( "x = 8050/1150 = 7<br><BR>\n" );
document.write( "Student ticket cost: x = $7<BR>\n" );
document.write( "Adult ticket cost: x+3 = $10<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );