document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165704>Question 1165704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The fast track company manufactures toy remote control race cars which it sells for $25 each the production costs for the company is $2100 per day plus $13 per race car how many race cars must they sell in one day to make a profit of $2700 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790179 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let c equal the total cost.<BR>\n" );
document.write( "let r equal the total revenue.<BR>\n" );
document.write( "let p = the profit which is equal to r - c.<BR>\n" );
document.write( "let x equal the number of cars sold.\r<BR>\n" );
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document.write( "all figures are per day.<BR>\n" );
document.write( "c = 13 * x + 2100<BR>\n" );
document.write( "r = 25 * x<BR>\n" );
document.write( "p = 25 * x - (13 * x + 2100) which is equal to 12 * x - 2100.\r<BR>\n" );
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document.write( "when p = 2700, the p formula becomes:<BR>\n" );
document.write( "2700 = 12 * x - 2100<BR>\n" );
document.write( "add 2100 to both sides of the equation to get:<BR>\n" );
document.write( "4800 = 12 * x<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 4800 / 12 = 400\r<BR>\n" );
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document.write( "when the number of cars sold is 400, they will make a profit of 2700 for the day.<BR>\n" );
document.write( "to confirm, replace x with 400 in the equations.<BR>\n" );
document.write( "r = 25 * x becomes r = 25 * 400 which becomes r = 10,000<BR>\n" );
document.write( "c = 13 * x + 2100 wich becomes c = 13 * 400 + 2100 which becomes c = 5200 + 2100 which becomes c = 7300.<BR>\n" );
document.write( "r - c becomes 10,000 - 7300 = 2700.\r<BR>\n" );
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document.write( "the value of x = 400 is confirmed to be good.<BR>\n" );
document.write( "your solution is that they have to sell 400 cars to make 2700 profit.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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