document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86218>Question 86218</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 wee 50 more adult tickets sold than child tickets, and the number of senior citizen tickets wre 4 time 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 #62326 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=62326\">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 citizen 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 = number of adult tickets sold<BR>\n" );
document.write( "Let s = number of senior tickets sold<BR>\n" );
document.write( "Let c = number of children's tickets<BR>\n" );
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document.write( "Translate each statement to an equation:<BR>\n" );
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document.write( "\"The total ticket sales were $ 1920. \"<BR>\n" );
document.write( "12a + 7s + 4c = 1920<BR>\n" );
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document.write( "\"There were 50 more adult tickets sold than child tickets,\"<BR>\n" );
document.write( "a = (c + 50)<BR>\n" );
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document.write( "\"the number of senior citizen tickets were 4 times the number of child tickets.\"<BR>\n" );
document.write( "s = 4*c<BR>\n" );
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document.write( "Substitute ((c+50) for a and 4c for s in the 1st equation, find c:<BR>\n" );
document.write( "12(c+50) + 7(4c) + 4c = 1920<BR>\n" );
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document.write( "12c + 600 + 28c + 4c = 1920<BR>\n" );
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document.write( "12c + 28c + 4c = 1920 - 600<BR>\n" );
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document.write( "44c = 1320<BR>\n" );
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document.write( "c = 1320/44<BR>\n" );
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document.write( "c = 30 children<BR>\n" );
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document.write( "Now use the equations you have to find the number of adults and seniors<BR>\n" );
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document.write( "Substitute your values a, s, and c in the 1st equation to check your solutions </SPAN>\n" );
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