document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031155>Question 1031155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Megan has a certain number of tiles. She takes 1/12 of the tiles and puts them in Box A. She takes 1/4 of the remaining tiles and puts them in Box B. The rest of the tiles are placed in Box C. There are 22 more tiles in Box C than Box B. How many tiles are in Box A? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645896 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=645896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" 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 total number of tiles at the start.  So we are told that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{x}{12}\"> is the number of tiles in Box A.  This means that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{11x}{12}\"> tiles remain to be divided between Box B and Box C.  Since one-fourth of the remaining tiles go into Box B, we know two facts:\r<BR>\n" );
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document.write( "1.  The number of tiles in Box B is represented by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(\frac{1}{4}\right)\left(\frac{11x}{12}\right)\">\r<BR>\n" );
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document.write( "2.  The number of tiles in Box C is represented by 1 minus the number of tiles in Box B which is to say:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(\frac{3}{4}\right)\left(\frac{11x}{12}\right)\">\r<BR>\n" );
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document.write( "But we also know that there are 22 more tiles in Box C than in Box B, so another representation of the number of tiles in Box C is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(\frac{1}{4}\right)\left(\frac{11x}{12}\right)\ +\ 22\">\r<BR>\n" );
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document.write( "Since we have two expressions for the same value, we can set them equal to each other:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{3}{4}\right)\left(\frac{11x}{12}\right)\ =\ \left(\frac{1}{4}\right)\left(\frac{11x}{12}\right)\ +\ 22\">\r<BR>\n" );
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document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> and then calculate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{x}{12}\">\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\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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