document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252905>Question 252905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost? \r<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 #185020 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=185020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = retail price.\r<BR>\n" );
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document.write( "x - .10*x = discount price to all students.\r<BR>\n" );
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document.write( "this is the same as discount price to all students is .9*x\r<BR>\n" );
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document.write( ".9*x - .15*(.9*x) = price with additional discount for back to school sale.\r<BR>\n" );
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document.write( "this simplifies to be price with additional discount for back to school sale to all students = .9x - .135*x = .765*x.\r<BR>\n" );
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document.write( "total discount = .765*x.\r<BR>\n" );
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document.write( ".765*x is what she bought the flute for.\r<BR>\n" );
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document.write( "Since she paid $306.00, then:\r<BR>\n" );
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document.write( ".765*x = $306.00\r<BR>\n" );
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document.write( "divide both sides of this equation by .765 to get:\r<BR>\n" );
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document.write( "x = 306/.765 = $400.\r<BR>\n" );
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document.write( "The original retail price for the flute was $400.\r<BR>\n" );
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document.write( "10% discount off of $400 = $400 - $40 = $360.\r<BR>\n" );
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document.write( "15% additional discount off of $360 = $360 - $54 = $306.00\r<BR>\n" );
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document.write( "answer is confirmed as correct.\r<BR>\n" );
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document.write( "answer is original retail price of the flute is $400.00\r<BR>\n" );
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