document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82389>Question 82389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tickets for an event cost $5 for children, $10 for adults, and $8 for senior citizens.  The total ticket sales were $2060.  There were 50 more adult tickets sold than child tickets, and the number of senior citizens tickets were 3 times the number of child tickets.  How many of each ticket were sold?\r<BR>\n" );
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document.write( "Hint:  You must find all 3 numbers to earn full credit.\r<BR>\n" );
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document.write( "Answer:  <BR>\n" );
document.write( "	Child tickets:  _________ sold<BR>\n" );
document.write( "	Adult tickets:  _________ sold<BR>\n" );
document.write( "	Senior citizen tickets:  _________ sold\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59048 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=59048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = no. of children; y = no. adults; z = no. of seniors<BR>\n" );
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document.write( "Write an equation for each sentence<BR>\n" );
document.write( "Tickets for an event cost $5 for children, $10 for adults, and $8 for senior citizens. <BR>\n" );
document.write( "\"The total ticket sales were $2060. \"<BR>\n" );
document.write( "5x + 10y + 8z = 2060<BR>\n" );
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document.write( "\"There were 50 more adult tickets sold than child tickets,\"<BR>\n" );
document.write( "y = x + 50<BR>\n" );
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document.write( "\"the number of senior citizens tickets were 3 times the number of child tickets\"<BR>\n" );
document.write( "z = 3*x<BR>\n" );
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document.write( ". How many of each ticket were sold? <BR>\n" );
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document.write( "Notice that the last two equation put both y and z in terms x. Therefore if<BR>\n" );
document.write( "we substitute for y and z in the total sales equation we can find x:<BR>\n" );
document.write( "5x + 10(x+50) + 8(3x) = 2060<BR>\n" );
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document.write( "5x + 10x + 500 + 24x = 2060; multiplied what's in brackets<BR>\n" );
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document.write( "5x + 10x + 24x = 2060 - 500; subtracted 500 from both sides<BR>\n" );
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document.write( "39x = 1560<BR>\n" );
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document.write( "x = 1560/39<BR>\n" );
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document.write( "x = 40 children<BR>\n" );
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document.write( "Then:<BR>\n" );
document.write( "y = x + 50<BR>\n" );
document.write( "y = 40 + 50<BR>\n" );
document.write( "y = 90 adults<BR>\n" );
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document.write( "And<BR>\n" );
document.write( "z = 3*x<BR>\n" );
document.write( "z = 2*40<BR>\n" );
document.write( "z = 120 seniors<BR>\n" );
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document.write( "Check our solutions in the total sales equation:<BR>\n" );
document.write( "5(40) + 90(10) + 8(120) =<BR>\n" );
document.write( "200  +  900  + 960  = 2060 </SPAN>\n" );
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