document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125416>Question 1125416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me set this up and solve it, than kyou so much.\r<BR>\n" );
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document.write( "One evening 1600 concert tickets were sold for the Fairmont Summer Jazz Festival.  Tickets cost &#8203;$20 for covered pavilion seats and&#8203; $10 for lawn seats.  Total receipts were &#8203;$22,000.  How many tickets of each type were&#8203; sold?<BR>\n" );
document.write( "How many pavilion seats were&#8203; sold?<BR>\n" );
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document.write( "Lawn seats?___<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 #741731 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=741731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are looking for two equations (two equations are needed to solve for two unknowns).<br>\r<BR>\n" );
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document.write( "Let  L=number of lawn seat tickets, and<BR>\n" );
document.write( "       C=number of covered pavilion tickets<br>\r<BR>\n" );
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document.write( "The first equation comes from the number of concert tickets sold:<BR>\n" );
document.write( "  (1)   L + C = 1600<br>\r<BR>\n" );
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document.write( "The 2nd equation comes from the total receipts, using the cost per ticket info:   <BR>\n" );
document.write( "  (2)  10L + 20C = 22000<br>\r<BR>\n" );
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document.write( "There are many ways to solve this system (e.g. matrices, substitution, etc.).  I'll just multiply the first equation by 10 then subtract that result from the bottom equation:<BR>\n" );
document.write( "    10L + 20C = 22000<BR>\n" );
document.write( "-  (10L + 10C = 16000)<BR>\n" );
document.write( "      0L  + 10C = 6000 <br><BR>\n" );
document.write( "C=600 —>  L=1000 (from eq(1))<br>\r<BR>\n" );
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document.write( "Ans:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28++600+%29+ ALIGN=MIDDLE  ALT=\"+highlight%28++600+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > covered pavilion tickets and<BR>\n" );
document.write( "         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28++1000+%29+ ALIGN=MIDDLE  ALT=\"+highlight%28++1000+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > lawn seat tickets were sold   \r<BR>\n" );
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