document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=424756>Question 424756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An amateur drama group hire a theatre for their production. They expect to sell all 850 tickets, some at $12 and the rest at $8. The group require the ticket sales to cover their $3760 production costs and to make a profit of $4000. If they are to exactly achieve this target and their expectations regarding ticket sales are correct how many of the 850 tickets should they charge $12 for and how many should they charge $8 for?\r<BR>\n" );
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document.write( "(Need help thanks!!)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296003 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=296003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  They expect to sell all 850 tickets, some at $12 and the rest at $8. <BR>\n" );
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document.write( "Quantity Eq: t + e = 850 tickets<BR>\n" );
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document.write( "The group require the ticket sales to cover their $3760 production costs and to make a profit of $4000. <BR>\n" );
document.write( "Value Equation: 12t + 8e = 7760 dollars<BR>\n" );
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document.write( "If they are to exactly achieve this target and their expectations regarding ticket sales are correct how many of the 850 tickets should they charge $12 for and how many should they charge $8 for?<BR>\n" );
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document.write( "Multiply thru the Quantity Eq. by 12:<BR>\n" );
document.write( "12t + 12e = 12*850<BR>\n" );
document.write( "12t + 8e = 7760<BR>\n" );
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document.write( "Subtract to get:<BR>\n" );
document.write( "4e = 2440<BR>\n" );
document.write( "e = 610 (# of $8 tickets needed)<BR>\n" );
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document.write( "Solve for \"t\":<BR>\n" );
document.write( "t + e = 850<BR>\n" );
document.write( "t + 610 = 850<BR>\n" );
document.write( "t = 240 (# of $12 tickets needed)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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