document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697166>Question 697166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tickets are available at 3 prices for a series of concerts. On a certain evening n people buys the cheapest tickets at x pounds. One third of this number buy the middle price ticket which costs 3 times as much as the cheapest and for every 5 sold for this price, 3 of the most expensive tickets are sold, each of which costs half of much again as the middle price ticket. In all, 690 people attend the concert paying a total of £1957.50. How many people buy the cheapest ticket and what is the cost of the most expensive ticket.<BR>\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429734 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=429734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Revenues from the cheapest tickets is <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2Ax+ ALIGN=MIDDLE  ALT=\"+n%2Ax+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Revenues from the middle price tickets is <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28n%2F3%29%2A%283x%29+ ALIGN=MIDDLE  ALT=\"+%28n%2F3%29%2A%283x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2Ax+ ALIGN=MIDDLE  ALT=\"+n%2Ax+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Revenues from the most expensive tickets is <BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F5%29%2A%28n%2F3%29%2A%283%2F2%29%2A%283x%29+ ALIGN=MIDDLE  ALT=\"+%283%2F5%29%2A%28n%2F3%29%2A%283%2F2%29%2A%283x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2F10%29%2An%2Ax+ ALIGN=MIDDLE  ALT=\"+%289%2F10%29%2An%2Ax+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%2B+n%2F3+%2B+%283%2F5%29%2A%28n%2F3%29+=+690+ ALIGN=MIDDLE  ALT=\"+n+%2B+n%2F3+%2B+%283%2F5%29%2A%28n%2F3%29+=+690+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%2B+n%2F3+%2B+n%2F5+=+690+ ALIGN=MIDDLE  ALT=\"+n+%2B+n%2F3+%2B+n%2F5+=+690+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15n+%2B+5n+%2B+3n+=+690+ ALIGN=MIDDLE  ALT=\"+15n+%2B+5n+%2B+3n+=+690+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+23n+=+690+ ALIGN=MIDDLE  ALT=\"+23n+=+690+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+30+ ALIGN=MIDDLE  ALT=\"+n+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "30 people buy the cheapest ticket<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1957.5+=+n%2Ax+%2B+n%2Ax+%2B+%289%2F10%29%2An%2Ax+ ALIGN=MIDDLE  ALT=\"+1957.5+=+n%2Ax+%2B+n%2Ax+%2B+%289%2F10%29%2An%2Ax+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1957.5+=+%2820%2F10%29%2An%2Ax+%2B+%289%2F10%29%2An%2Ax+ ALIGN=MIDDLE  ALT=\"+1957.5+=+%2820%2F10%29%2An%2Ax+%2B+%289%2F10%29%2An%2Ax+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1957.5+=+2.9%2An%2Ax+ ALIGN=MIDDLE  ALT=\"+1957.5+=+2.9%2An%2Ax+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1957.5+=+2.9%2A30%2Ax+ ALIGN=MIDDLE  ALT=\"+1957.5+=+2.9%2A30%2Ax+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+1957.5+%2F+87+ ALIGN=MIDDLE  ALT=\"+x+=+1957.5+%2F+87+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+22.5+ ALIGN=MIDDLE  ALT=\"+x+=+22.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "What is the cost of the most expensive ticket?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2F2%29%2Ax+=+%289%2F2%29%2A22.5+ ALIGN=MIDDLE  ALT=\"+%289%2F2%29%2Ax+=+%289%2F2%29%2A22.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2F2%29%2Ax+=+101.25+ ALIGN=MIDDLE  ALT=\"+%289%2F2%29%2Ax+=+101.25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The cost of most expensive ticket is 101.25 pounds<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "check answers:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2Ax+=+30%2A22.5+ ALIGN=MIDDLE  ALT=\"+n%2Ax+=+30%2A22.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2Ax+=+675+ ALIGN=MIDDLE  ALT=\"+n%2Ax+=+675+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2Ax+=+675+ ALIGN=MIDDLE  ALT=\"+n%2Ax+=+675+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2F10%29%2An%2Ax+=+.9%2A30%2A22.5+ ALIGN=MIDDLE  ALT=\"+%289%2F10%29%2An%2Ax+=+.9%2A30%2A22.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2F10%29%2An%2Ax+=+607.5+ ALIGN=MIDDLE  ALT=\"+%289%2F10%29%2An%2Ax+=+607.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A675+%2B+607.5+=+1350+%2B+607.5+ ALIGN=MIDDLE  ALT=\"+2%2A675+%2B+607.5+=+1350+%2B+607.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A675+%2B+607.5+=+1957.5+ ALIGN=MIDDLE  ALT=\"+2%2A675+%2B+607.5+=+1957.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );