document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=821908>Question 821908</A>: <I><SPAN STYLE=\"word-break: break-all;\">  please help me solve this question. \"A group of 3 adults and 5 children pay a total of $52  for movie tickets. A group of 2 adults and 4 children pay a total of $38  for tickets. What is the cost of 1 adult ticket?  What is the cost of 1 child ticket?\" They are to the same problem. I  can't find the answer. Please help me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494498 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=494498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a = the cost of an adult ticket<BR>\n" );
document.write( "Let c = the cost of a child's ticket<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each statement<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A group of 3 adults and 5 children pay a total of $52 for movie tickets.<BR>\n" );
document.write( "3a + 5c = 52<BR>\n" );
document.write( ":<BR>\n" );
document.write( " A group of 2 adults and 4 children pay a total of $38 for tickets.<BR>\n" );
document.write( "2a + 4c = 38<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "a + 2c = 19<BR>\n" );
document.write( "a = 19 - 2c, use this eq for substitution for a in the 1st equation<BR>\n" );
document.write( "3(19-2c) + 5c = 52<BR>\n" );
document.write( "57 - 6c + 5c = 52<BR>\n" );
document.write( "-6c + 5c = 52 - 57<BR>\n" );
document.write( "-c = -5<BR>\n" );
document.write( "c = $5 for each child<BR>\n" );
document.write( "then<BR>\n" );
document.write( "a = 19 - 2(5)<BR>\n" );
document.write( "a = $9 for each adult<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can confirm this, replace a and c in both equations\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );