document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183276>Question 1183276</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cindy is selling tickets to the circus.   On her first day, she sold 4 adult tickets and 8 children's tickets for a total of $108.    On the second day, she sold 5 adult tickets and 6 children's tickets for a total of $105.   What is the prices of an adult ticket and a Childs ticket?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813507 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=813507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "a = cost of adult ticket<BR>\n" );
document.write( "c = cost of child ticket<br><BR>\n" );
document.write( "4a+8c=108<BR>\n" );
document.write( "5a+6c=105<br><BR>\n" );
document.write( "Divide the first equation by the common factor of 4<br><BR>\n" );
document.write( "a+2c=27<br><BR>\n" );
document.write( "multiply by 5 to make the number of adult tickets the same as in the other equation<br><BR>\n" );
document.write( "5a+10c=135<br><BR>\n" );
document.write( "Compare the two equations<br><BR>\n" );
document.write( "5a+10c=135<BR>\n" );
document.write( "5a+6c=105<BR>\n" );
document.write( "4c=30<BR>\n" );
document.write( "c=7.50<br><BR>\n" );
document.write( "The cost of each child ticket is $7.50<br><BR>\n" );
document.write( "Substitute in either original equation to solve for the cost of an adult ticket<br><BR>\n" );
document.write( "4a+8(7.50)=108<BR>\n" );
document.write( "4a+60=108<BR>\n" );
document.write( "4a=48<BR>\n" );
document.write( "a=12<br><BR>\n" );
document.write( "The cost of each adult ticket is $12<br><BR>\n" );
document.write( "ANSWERS: adult ticket $12; child ticket $7.50<br><BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );