document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199504>Question 1199504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A school is selling tickets to a talent show. On the first day of sales they sold 1 adult ticket and 6 student tickets for a total of $60. On the last day of sales, they sold 6 adult tickets and 15 student tickets for a total of $192. What was the price of the adult ticket?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833429 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=833429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Informally, using logical reasoning and mental arithmetic....<br><BR>\n" );
document.write( "Since 1 adult ticket and 6 student tickets cost $60, 6 adult tickets and 36 student tickets would cost $360.<BR>\n" );
document.write( "Comparing that to  the $192 cost of 6 adult tickets and 15 student tickets, we see that the 36-15=21 additional student tickets cost an additional $360-$192 = $168; so the cost of each student ticket is $168/21 = $8.<BR>\n" );
document.write( "So on the first day the 6 student tickets cost 6($8) = $48, which means the 1 adult ticket cost $60-$48 = $12.<br><BR>\n" );
document.write( "ANSWER: The price of an adult ticket was $12.<br><BR>\n" );
document.write( "The exact same thing, using formal algebra....<br><PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "x+6y = 60       given\r\n" );
document.write( "6x+36y = 360    multiply by 6\r\n" );
document.write( "6x+15y = 192    given\r\n" );
document.write( "21y = 168       the difference between the two equations\r\n" );
document.write( "y = 8           solve for y\r\n" );
document.write( "x+6(8) = 60     solve for x\r\n" );
document.write( "x+48 = 60\r\n" );
document.write( "x = 12<br></PRE><BR>\n" );
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