document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=25577>Question 25577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Promoters of a rock concert must sell at least 25,000 tickets priced at $35 and $50 per ticket. Also, the promoters must take in at least $1,025,000 in ticket sales. Find a system of inequalities that describes all possibilities for selling the $35 tickets and the $50 tickets. Find at least one solution for the number of tickets that can be sold and show that your solution satisfies both of the promoter’s needs.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13719 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=13719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let number of $35 tickets be \"x\"<BR>\n" );
document.write( "The number of $50 tickets is \"25000-x\"<BR>\n" );
document.write( "Value of $35 tickets is 35x<BR>\n" );
document.write( "Value of $50 tickets is 50(25000-x)=1,250,000-50x<BR>\n" );
document.write( "INEQUALITY:<BR>\n" );
document.write( " Value of 35 + Value of 50 >= 1,025,000<BR>\n" );
document.write( "35x+1,250,000-50x>=1,025,000<BR>\n" );
document.write( "         -15x >=-225,000<BR>\n" );
document.write( "            x>=15,000 (number of $35 tickets sold)<BR>\n" );
document.write( "    25000-x>=10,000(number of $50 tickets sold)<BR>\n" );
document.write( "I'll leave it to you to shown that if you choose<BR>\n" );
document.write( "a value of x>=15000 the inequality condition is met.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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