document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139369>Question 1139369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A music system has been on sale, with 20% off. On top of that, you have a special coupon, which gives you an additional rebate of 10%. The sales tax is 10%. In total, you ended up in paying $792. What was the original price of the music system? <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 #759846 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=759846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a = the original price\r<BR>\n" );
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document.write( "b = the discount price.\r<BR>\n" );
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document.write( "c = the additional discount price.\r<BR>\n" );
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document.write( "the discount price is equal to the retail price minus 20%.\r<BR>\n" );
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document.write( "that would be a - .20 * a = .8 * a.\r<BR>\n" );
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document.write( "therefore b = .8 * a.\r<BR>\n" );
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document.write( "the additional discount price is equal to the discount price minus 10%.\r<BR>\n" );
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document.write( "that would be b - .1 * b = .9 * b.\r<BR>\n" );
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document.write( "therefore c = .9 * b.\r<BR>\n" );
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document.write( "since c = .9 * b and b = .8 * a, then c = .9 * .8 * a which makes c = .72 * a.\r<BR>\n" );
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document.write( "since you ended up paying $792, then .72 * a = $792.\r<BR>\n" );
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document.write( "solve for a to get a = $792 / .72 = $1100.\r<BR>\n" );
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document.write( "the original price was $1100.\r<BR>\n" );
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document.write( "20% discount off $1100 = $220, resulting in a discount price of $880.\r<BR>\n" );
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document.write( "additional discount of 10% off $880 results in a final discount price of $880 - $88 = $792.\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( "solution is that the original price of the music system was $1100.\r<BR>\n" );
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