document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131073>Question 1131073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On weekdays, a movie theater charges different rates for adults and<BR>\n" );
document.write( "children. If 3 adults and 2 children go for a movie on a weekday, the total<BR>\n" );
document.write( "cost of the tickets is $31. If 2 adults and 3 children go on a weekday, the<BR>\n" );
document.write( "total cost of the tickets is $29. If a group of adults and 6 children go to the movie theater on a weekday and pay $58 for tickets, how many adults are<BR>\n" );
document.write( "in this group?<BR>\n" );
document.write( "A. 4<BR>\n" );
document.write( "B. 5<BR>\n" );
document.write( "C. 7<BR>\n" );
document.write( "D. 8  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #747721 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=747721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On weekdays, a movie theater charges different rates for adults and<BR>\n" );
document.write( "children. <BR>\n" );
document.write( "If 3 adults and 2 children go for a movie on a weekday, the total<BR>\n" );
document.write( "cost of the tickets is $31. <BR>\n" );
document.write( "If 2 adults and 3 children go on a weekday, the<BR>\n" );
document.write( "total cost of the tickets is $29.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "3a + 2c = 31<BR>\n" );
document.write( "2a + 3c = 29<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Modify and solve for \"a\"::<BR>\n" );
document.write( "9a + 6c = 3*31<BR>\n" );
document.write( "4a + 6c = 2*29<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Subtract and solve for \"a\":<BR>\n" );
document.write( "5a = 93-58<BR>\n" );
document.write( "5a = 35<BR>\n" );
document.write( "a = 7 (price of an adult ticket)<BR>\n" );
document.write( "Solve for \"c\"::<BR>\n" );
document.write( "3a + 2c = 31<BR>\n" );
document.write( "3*7+2c = 31<BR>\n" );
document.write( "2c = 10<BR>\n" );
document.write( "c = 5 (price of a child's ticket) <BR>\n" );
document.write( "----------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "If a group of adults and 6 children go to the movie theater on a weekday and pay $58 for tickets, how many adults are<BR>\n" );
document.write( "in this group?<BR>\n" );
document.write( "A + 6c = 58<BR>\n" );
document.write( "A + 6*5 = 58<BR>\n" );
document.write( "A = 28 dollars (cost for the group of adults)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Ans: # of adults = 28/7 = 4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "A. 4<BR>\n" );
document.write( "B. 5<BR>\n" );
document.write( "C. 7<BR>\n" );
document.write( "D. 8  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );