document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=900304>Question 900304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A customer walks into a bakery, where there is a try and brownies.  The customer says I’ll take half the brownies in the try, plus half a brownie.  After his order if fulfilled, a second customer walks in and says,  I’ll take half the brownies in the try, plus half a brownie,  after second customer order is fulfilled a third customer walks in and says, I’ll take half the brownies in the tray, plus half a brownie after third customer have been through there are no brownies remaining and the try is empty.  How many brownies were in the tray on day one, just before the first customer came in  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545875 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=545875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of brownies in the tray<BR>\n" );
document.write( "at the start<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The 1st customer takes <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2F2+%2B+1%2F2+ ALIGN=MIDDLE  ALT=\"+n%2F2+%2B+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > brownies<BR>\n" );
document.write( "That means there are <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+-+%28+n%2F2+%2B+1%2F2+%29+ ALIGN=MIDDLE  ALT=\"+n+-+%28+n%2F2+%2B+1%2F2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2F2+-+1%2F2+ ALIGN=MIDDLE  ALT=\"+n%2F2+-+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "brownies left<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The 2nd customer takes <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+1%2F2%29%2A%28+n%2F2+-+1%2F2+%29+%2B+1%2F2+ ALIGN=MIDDLE  ALT=\"+%28+1%2F2%29%2A%28+n%2F2+-+1%2F2+%29+%2B+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2F4+-+1%2F4+%2B+1%2F2+ ALIGN=MIDDLE  ALT=\"+n%2F4+-+1%2F4+%2B+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2F4+%2B+1%2F4+ ALIGN=MIDDLE  ALT=\"+n%2F4+%2B+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That means there are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+n%2F2+-+1%2F2+%29+-+%28+n%2F4+%2B+1%2F4+%29+ ALIGN=MIDDLE  ALT=\"+%28+n%2F2+-+1%2F2+%29+-+%28+n%2F4+%2B+1%2F4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2F2+-+1%2F2+-+n%2F4+-+1%2F4+ ALIGN=MIDDLE  ALT=\"+n%2F2+-+1%2F2+-+n%2F4+-+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2F4+-+3%2F4+ ALIGN=MIDDLE  ALT=\"+n%2F4+-+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "brownies left<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The 3rd customer takes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%2A%28+n%2F4+-+3%2F4+%29+%2B+1%2F2+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%2A%28+n%2F4+-+3%2F4+%29+%2B+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2F8+-+3%2F8+%2B+4%2F8+ ALIGN=MIDDLE  ALT=\"+n%2F8+-+3%2F8+%2B+4%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2F8+%2B+1%2F8+ ALIGN=MIDDLE  ALT=\"+n%2F8+%2B+1%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That means there are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+n%2F4+-+3%2F4+%29+-+%28+n%2F8+%2B+1%2F8+%29+ ALIGN=MIDDLE  ALT=\"+%28+n%2F4+-+3%2F4+%29+-+%28+n%2F8+%2B+1%2F8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2F4+-+6%2F8+-+n%2F8+-+1%2F8+ ALIGN=MIDDLE  ALT=\"+n%2F4+-+6%2F8+-+n%2F8+-+1%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2F8+-+7%2F8+ ALIGN=MIDDLE  ALT=\"+n%2F8+-+7%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "brownies left<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "You are told also that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2F8+-+7%2F8+=+0+ ALIGN=MIDDLE  ALT=\"+n%2F8+-+7%2F8+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2F8+=+7%2F8+ ALIGN=MIDDLE  ALT=\"+n%2F8+=+7%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+7+ ALIGN=MIDDLE  ALT=\"+n+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "There were 7 brownies before 1st customer came in<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "1st customer took <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%2F2+%2B+1%2F2+=+4+ ALIGN=MIDDLE  ALT=\"+7%2F2+%2B+1%2F2+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There were<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7+-+4+=+3+ ALIGN=MIDDLE  ALT=\"+7+-+4+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > left<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The 2nd customer took<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F2+%2B+1%2F2+=+2+ ALIGN=MIDDLE  ALT=\"+3%2F2+%2B+1%2F2+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There were <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+2+=+1+ ALIGN=MIDDLE  ALT=\"+3+-+2+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > left<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The 3rd customer took<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F2+%2B+1%2F2+=+1+ ALIGN=MIDDLE  ALT=\"+1%2F2+%2B+1%2F2+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There were<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+1+=+0+ ALIGN=MIDDLE  ALT=\"+1+-+1+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > left<BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );