document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=340403>Question 340403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are two glasses of equal size, A and B.  Glass A is empty and Glass B contains some water.  Half of the water in glass b is poured into glass a.  this process is repeated two more times - each time half of what is left in glass b is poured into glass a.  at the end of these three pourings, glass a is half full.  How much water is now left in glass b? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #243916 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=243916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the amount of water in full glass units contained in glass B.\r<BR>\n" );
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document.write( "After the first pouring,\r<BR>\n" );
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document.write( "Glass A contains <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{x}{2}\"><BR>\n" );
document.write( "Glass B contains <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{x}{2}\">\r<BR>\n" );
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document.write( "After the second pouring\r<BR>\n" );
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document.write( "Glass A contains <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{x}{2}\ +\ \frac{x}{4}\ =\ \frac{3x}{4}\"><BR>\n" );
document.write( "Glass B contains <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{x}{4}\">\r<BR>\n" );
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document.write( "After the third pouring\r<BR>\n" );
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document.write( "Glass A contains <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{3x}{4}\ +\ \frac{x}{8}\ =\ \frac{7x}{8}\"><BR>\n" );
document.write( "Glass B contains <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{x}{8}\">\r<BR>\n" );
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document.write( "But since Glass A is now one-half full, we know that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{7x}{8}\ =\ \frac{1}{2}\">\r<BR>\n" );
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document.write( "Solving\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ x\ =\ \frac{1}{2}\,\cdot\,\frac{8}{7}\ =\ \frac{4}{7}\">\r<BR>\n" );
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document.write( "of a glass full was the beginning amount in Glass B.  Since Glass B now contains <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{8}\"> of the original amount, Glass B must now contain <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{8}\,\cdot\,\frac{4}{7}\ =\ \frac{1}{14}\"> of a full glass.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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