document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=538670>Question 538670</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My mom and I can't figure out how to solve this word problem. <BR>\n" );
document.write( "Producing a musical costs $88,000 plus $5900 per performance. One sold-out performance earns $7500 in revenue. If every performance sells out, how many performances are needed to break even? \r<BR>\n" );
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document.write( "Here is what we tried:<BR>\n" );
document.write( "y=7500x + 5900  y=88000<BR>\n" );
document.write( "88000= 7500x + 5900<BR>\n" );
document.write( "82100=7500x<BR>\n" );
document.write( "10.94 shows\r<BR>\n" );
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document.write( "also tried:<BR>\n" );
document.write( "x= 7500   x= 88000+5900<BR>\n" );
document.write( "x=93900/7500<BR>\n" );
document.write( "12.52 shows\r<BR>\n" );
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document.write( "I know I am doing something wrong. I'm really confused! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354782 by </B><A HREF=/tutors/aboutme.mpl?userid=jpg7n16><B>jpg7n16(66)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jpg7n16><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=354782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay, let's start by taking the original problem and breaking it up into managable equations.<BR>\n" );
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document.write( "\"Producing a musical costs $88,000 plus $5900 per performance.\"<BR>\n" );
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document.write( "Let's start there. Let's call the cost of the musical \"C\" and each performance \"P.\" How do you turn that statement into an equation?<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=88000%2B5900%2Ap ALIGN=MIDDLE  ALT=\"c=88000%2B5900%2Ap\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cost=88,000 plus $5900 per Performance<BR>\n" );
document.write( ". <BR>\n" );
document.write( "\"One sold-out performance earns $7500 in revenue.\"<BR>\n" );
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document.write( "Let's call revenue \"R\". So total revenue would be $7500 per performance. As an equation:<BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=7500%2Ap ALIGN=MIDDLE  ALT=\"r=7500%2Ap\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now we have our formulas.<BR>\n" );
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document.write( "\"If every performance sells out, how many performances are needed to break even?\"<BR>\n" );
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document.write( "We know that you break even when your Revenues equal your costs, right? So when: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=C ALIGN=MIDDLE  ALT=\"R=C\"   DISABLED_style= \"max-width:90%; height:auto;\" > the show will break even. That means we can set equations R and C equal to each other and solve for the number of performances P<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=88000%2B5900p=C=R=7500p ALIGN=MIDDLE  ALT=\"88000%2B5900p=C=R=7500p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=88000%2B5900p=7500p ALIGN=MIDDLE  ALT=\"88000%2B5900p=7500p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=88000=1600p ALIGN=MIDDLE  ALT=\"88000=1600p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1600p=88000 ALIGN=MIDDLE  ALT=\"1600p=88000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=88000%2F1600=55 ALIGN=MIDDLE  ALT=\"p=88000%2F1600=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Therefore, the musical will break even after 55 sell out performances.<BR>\n" );
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document.write( "As a faster, easier way - you could just say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=profit+=+revenue+-+cost ALIGN=MIDDLE  ALT=\"profit+=+revenue+-+cost\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You make 7500 per show, costs 5900/show. And you started in the hole $88k.<BR>\n" );
document.write( "You're making back <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7500-5900=1600 ALIGN=MIDDLE  ALT=\"7500-5900=1600\"   DISABLED_style= \"max-width:90%; height:auto;\" > - per show<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=88000%2F1600=55 ALIGN=MIDDLE  ALT=\"88000%2F1600=55\"   DISABLED_style= \"max-width:90%; height:auto;\" > shows to make your money back </SPAN>\n" );
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