document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=624755>Question 624755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello I'm really stuck on this problem and I'm looking for some help. I'll show you the question and what we are learning so you will have a better understanding of what the answer is suppose to look like.\r<BR>\n" );
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document.write( "The Little Town Arts Center charges $21 for adults, $17 for senior citizens and $8 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $13,274 for 886 tickets sold. There were 47 more children that adults. How many children attended?\r<BR>\n" );
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document.write( "I am not sure where to start with this question, we recently learned revenue, profit and cost function, also systems of linear equations in three variables. It looks like I am suppose to Solve a linear system with 3 variables but I am not sure. Thank you for the help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #393022 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=393022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Little Town Arts Center charges $21 for adults, $17 for senior citizens and $8 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $13,274 for 886 tickets sold. There were 47 more children that adults. How many children attended? <BR>\n" );
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document.write( "Let x = number of adult tickets<BR>\n" );
document.write( "then \"There were 47 more children that adults.\"<BR>\n" );
document.write( "x+47 = number of children's tickets<BR>\n" );
document.write( "and from: \"886 tickets sold\"<BR>\n" );
document.write( "886-(x + x+47) = 886-(2x+47) = 839-2x = number of senior tickets<BR>\n" );
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document.write( "Our equation comes from: \"the paid revenue was $13,274\"<BR>\n" );
document.write( "21x + 17(839-2x) + 8(x+47) = 13274<BR>\n" );
document.write( "21x + 14263-34x + 8x+376 = 13274<BR>\n" );
document.write( "-5x + 14639 = 13274<BR>\n" );
document.write( "-5x = -1365<BR>\n" );
document.write( "x = 273 (number of adult tickets)<BR>\n" );
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document.write( "number of children's tickets:<BR>\n" );
document.write( "x+47 = 273+47 = 320<BR>\n" );
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document.write( "number of senior tickets:<BR>\n" );
document.write( "839-2x = 839-2(273) = 839-546 = 293<BR>\n" );
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