document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5388>Question 5388</A>: <I><SPAN STYLE=\"word-break: break-all;\">  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?  I solved this question and i got $408 but they say that it isn't correct. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2734 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=2734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = original cost<BR>\n" );
document.write( "Let .90x = the amount the student pays (100%-10% = 90%)<BR>\n" );
document.write( "Let .85(.90x) = the sales price (100%-15%=85%)\r<BR>\n" );
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document.write( "If the sales price = 306, then\r<BR>\n" );
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document.write( ".85(.90x)=306<BR>\n" );
document.write( ".765x=306<BR>\n" );
document.write( "x=$400\r<BR>\n" );
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document.write( "So the original cost was $400<BR>\n" );
document.write( "This makes sense because $40 was taken off for the student discount, bringing the sales price to $360 and an additional 15% of 360 = $54, so $360-$54 = $306<BR>\n" );
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