document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034181>Question 1034181</A>: <I><SPAN STYLE=\"word-break: break-all;\">     The Family Fine Arts Center charges $21 per adult and $12 per senior citizen for its performances. On a recent weekend evening when 486 people paid admission, the total receipts were $6894. How many who paid were senior citizens?\r<BR>\n" );
document.write( "\n" );
document.write( "    a. 208 senior citizens<BR>\n" );
document.write( "    b. 368 senior citizens<BR>\n" );
document.write( "    c. 118 senior citizens<BR>\n" );
document.write( "    d. 278 senior citizens </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648785 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=648785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "    The Family Fine Arts Center charges $21 per adult and $12 per senior citizen for its performances. On a recent weekend evening when 486 people paid admission, the total receipts were $6894. How many who paid were senior citizens?\r<BR>\n" );
document.write( "\n" );
document.write( "    a. 208 senior citizens<BR>\n" );
document.write( "    b. 368 senior citizens<BR>\n" );
document.write( "    c. 118 senior citizens<BR>\n" );
document.write( "    d. 278 senior citizens<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<U>Answer</U>.  Option b. 368 senior citizens.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<U>Solution</U>. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<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( "Let s be the number of seniors.\r\n" );
document.write( "\r\n" );
document.write( "Then the number of adults is (486-s).\r\n" );
document.write( "\r\n" );
document.write( "The value function is f(x) = 12*s + 21*(486-s) dollars.\r\n" );
document.write( "\r\n" );
document.write( "Only s = 368 gives the value of $6894.\r\n" );
document.write( "\r\n" );
document.write( "To find the answer, you actually do not need to solve the equation.\r\n" );
document.write( "</PRE><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );