document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89427>Question 89427</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tickets for an event cost $4 for children, $12 for adults, and $7 for senior citizens.  The total ticket sales were $1920.  There were 50 more adult tickets sold than child tickets, and the number of senior citizens tickets were 4 times the number of child tickets.  How many of each ticket were sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65057 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=65057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tickets for an event cost $4 for children, $12 for adults, and $7 for senior citizens. The total ticket sales were $1920. There were 50 more adult tickets sold than child tickets, and the number of senior citizens tickets were 4 times the number of child tickets. How many of each ticket were sold?<BR>\n" );
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document.write( "Let a = no. of adults, c = no. of children, s = no. of seniors<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"The total ticket sales were $1920. \"<BR>\n" );
document.write( "12a + 4c + 7s = 19<BR>\n" );
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document.write( "\"There were 50 more adult tickets sold than children's tickets,\"<BR>\n" );
document.write( "a = c + 50<BR>\n" );
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document.write( "\"the number of senior citizen's tickets were 4 times the number of children's tickets.\"<BR>\n" );
document.write( "s = 4c<BR>\n" );
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document.write( "How many tickets were sold?<BR>\n" );
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document.write( "Using the 1st eq (12a + 4c + 7s = 1920) substitute (c+50) for a and 4c for s:<BR>\n" );
document.write( "12(c+50) + 4c + 7(4c)c = 1920<BR>\n" );
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document.write( "12c + 600 + 4c + 28c = 1920<BR>\n" );
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document.write( "12c + 4c + 28c = 1920 - 600<BR>\n" );
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document.write( "44c = 1320<BR>\n" );
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document.write( "c = 1320/17<BR>\n" );
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document.write( "c = 30 children<BR>\n" );
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document.write( "Use the other two equations to determine no. of adults and seniors<BR>\n" );
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document.write( "Check solutions by substitution in the 1st equation<BR>\n" );
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document.write( "Did this help? Any questions? </SPAN>\n" );
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