document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177562>Question 177562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a movie theatre, admission tickets are $5 for children and $8 for adults. The receipts for Friday evening were $2500. The next day, there were three times as many children as the preceding evening and only half the number of adults as the night before, yet the receipts were still $2500. Find the number of children who attended Friday evening.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132577 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132577\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At a movie theatre, admission tickets are $5 for children and $8 for adults. The receipts for Friday evening were $2500. <BR>\n" );
document.write( "Value Equation: 5c + 8a = 2500<BR>\n" );
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document.write( "The next day, there were three times as many children as the preceding evening and only half the number of adults as the night before, yet the receipts were still $2500. <BR>\n" );
document.write( "Value Equation: 5(3c) + 8(a/2) = 2500<BR>\n" );
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document.write( "Find the number of children who attended Friday evening.<BR>\n" );
document.write( "System:<BR>\n" );
document.write( "5c + 8a = 2500<BR>\n" );
document.write( "15c+ 4a = 2500<BR>\n" );
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document.write( "Modify:<BR>\n" );
document.write( "5c + 8a = 2500<BR>\n" );
document.write( "30c+ 8a = 5000<BR>\n" );
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document.write( "Subtract to solve for \"c\":<BR>\n" );
document.write( "25c = 2500<BR>\n" );
document.write( "c = 100 (# of child tickets sold)<BR>\n" );
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document.write( "Substitute into 5c + 8a = 2500 to solve for \"a\":<BR>\n" );
document.write( "5*100 + 8a = 2500<BR>\n" );
document.write( "8a = 2000<BR>\n" );
document.write( "a = 250 (# of adult tickets solf)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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