document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=661022>Question 661022</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Groupon is offering a weight-loss program for $58.50. They says this represents a 55% discount. What was the original value of the weight-loss program? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #411447 by </B><A HREF=/tutors/aboutme.mpl?userid=colliefan><B>colliefan(242)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=colliefan><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=411447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For all percentage problems, remember that the basic equation or formula is that the percentage is a ratio of some “part” divided by some “whole” or standard amount. That doesn't seem precise, but I think that language is helpful for all percentage problems. By part and whole, I mean that there will always be a number that is to be compared to another. \r<BR>\n" );
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document.write( "The basic formula or equation is always:   Percentage = part/whole\r<BR>\n" );
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document.write( "In percentage problems, you are given 2 of the following 3 items:<BR>\n" );
document.write( "the percentage<BR>\n" );
document.write( "the part<BR>\n" );
document.write( "the whole\r<BR>\n" );
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document.write( "Write the basic equation, substitute in what you know, and solve for what remains unknown.\r<BR>\n" );
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document.write( "In this case, the question is whether the $58.50 is the part or the whole. It is an amount that has already been discounted and so it is part of the whole which was the original price.\r<BR>\n" );
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document.write( "You know the percentage and the part, we need to find the whole amount.\r<BR>\n" );
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document.write( "pct=part/whole<BR>\n" );
document.write( "55%=58.50/w<BR>\n" );
document.write( "w*55%=w*58.50/w<BR>\n" );
document.write( "w*55%=w*1/w*58.50<BR>\n" );
document.write( "w*55%=1*58.50<BR>\n" );
document.write( "w*55%=58.50<BR>\n" );
document.write( "w*55%*1/55%=58.50*1/55%<BR>\n" );
document.write( "w*1=58.50*1/55%<BR>\n" );
document.write( "w=$106.36\r<BR>\n" );
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document.write( "When you do your calculations, remember 55%=.55 </SPAN>\n" );
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