document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230810>Question 230810</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sale price of a radio is 30% below the original price of the radio, but a 7% sales tax is added to the sale price. Rob’s total bill for his radio came to $97.54. What was the original price of the radio Rob bought on sale? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170947 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=170947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sale price = .7 * original price.\r<BR>\n" );
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document.write( "7% tax is added to the sale price.\r<BR>\n" );
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document.write( "total bill came to $97.54\r<BR>\n" );
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document.write( "This means that .7 * original price + .07 * .7 * original price = 97.54\r<BR>\n" );
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document.write( "let x = original price.\r<BR>\n" );
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document.write( "this formula becomes:\r<BR>\n" );
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document.write( ".7*x + .07*.7*x = $97.54\r<BR>\n" );
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document.write( "factor out the x to get:\r<BR>\n" );
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document.write( "(.7 + .07*.7) * x = $97.54\r<BR>\n" );
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document.write( "simplify and combine like terms to get:\r<BR>\n" );
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document.write( ".749 * x = $97.54\r<BR>\n" );
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document.write( "divide both sides of equation by .749 to get:\r<BR>\n" );
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document.write( "x = 97.54 / .749\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "x = 130.2269693\r<BR>\n" );
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document.write( "original price of the radio is $130.2269693\r<BR>\n" );
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document.write( "this is not an even number, but it works.\r<BR>\n" );
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document.write( "take 30% off that to get a sale price of $91.1588785\r<BR>\n" );
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document.write( "Add 7% sales tax to that to get a total bill of $97.54\r<BR>\n" );
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document.write( "Normally these types of problems will get you an even number for the original price but this one doesn't.\r<BR>\n" );
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document.write( "Despite that, the method looks good and so I believe this must be the answer you are looking for.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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