document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140468>Question 1140468</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sports shop buys tents for $260 less 25% for buying more than 30 tents. The store operates on a markup of 30% of the sale price and advertises that all items are sold at a discount of 20% of the regular price. What is the regular price of the tents?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761008 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=761008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "from what i can see, the regular price can be anything, based on the information you provided.\r<BR>\n" );
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document.write( "let r = the regular price.<BR>\n" );
document.write( "let s = the sale price<BR>\n" );
document.write( "let m = the markup price.<BR>\n" );
document.write( "let c = the cost price.\r<BR>\n" );
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document.write( "you state:\r<BR>\n" );
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document.write( "The store operates on a markup of 30% of the sale price and advertises that all items are sold at a discount of 20% of the regular price.\r<BR>\n" );
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document.write( "this makes:\r<BR>\n" );
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document.write( "m = 1.3 * s<BR>\n" );
document.write( "s = .8 * r\r<BR>\n" );
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document.write( "this makes m = 1.3 * .8 * r = 1.04 * r\r<BR>\n" );
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document.write( "if we try to solve for r, we get r = m / 1.04\r<BR>\n" );
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document.write( "since m = 1.3 * s, then r = 1.3 * s / 1.04\r<BR>\n" );
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document.write( "since s = .8 * r, then r = 1.3 * .8 * r / 1.04\r<BR>\n" );
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document.write( "that becomes r = 1.04 * r / 1.04.\r<BR>\n" );
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document.write( "that becomes r = r.\r<BR>\n" );
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document.write( "that's an identity, which means that r can be anything.\r<BR>\n" );
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document.write( "i then decided to assume some values for r to see if it's true that r could be anything.\r<BR>\n" );
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document.write( "i first chose r = 5000.\r<BR>\n" );
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document.write( "assuming r = 5000, then s = .8 * r = .8 * 5000 =  4000\r<BR>\n" );
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document.write( "assuming m = 1.3 * s, then m = 1.3 * 4000 = 5200\r<BR>\n" );
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document.write( "assuming m = 1.04 * r, then m = 1.04 * 5000 = 5200\r<BR>\n" );
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document.write( "i then chose r = 1600.\r<BR>\n" );
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document.write( "assuming r = 1600, then s = .8 * 1600 = 1280\r<BR>\n" );
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document.write( "assuming m = 1.3 * s, then m = 1.3 * 1280 = 1664\r<BR>\n" );
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document.write( "assuming m = 1.04 * r, then m = 1.04 * 1600 = 1664\r<BR>\n" );
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document.write( "the actual cost of the tent doesn't even figure in this problem, since there's nothing that relates the regular price to the cost.\r<BR>\n" );
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document.write( "based on the information provided, i would have to say that the regular price could be anything, and the requirements of the problem would still be satisfied.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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