document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296591>Question 296591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Anne, Bernard and Charlotte each had some pennies. They decided to divide their pennies in the following way. Bernard gave one-half of his pennies to Charlotte and kept the rest. Anne then gave one-third of her pennies Bernard and one-sixth of them to Charlotte. At the end, each had 27 pennies. How many pennies did Charlotte have originally?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213686 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=213686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Anne, Bernard and Charlotte each had some pennies. They decided to divide their pennies in the following way. Bernard gave one-half of his pennies to Charlotte and kept the rest. Anne then gave one-third of her pennies Bernard and one-sixth of them to Charlotte. At the end, each had 27 pennies. How many pennies did Charlotte have originally?\r<BR>\n" );
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document.write( "At the end they all had 27 pennies each.\r<BR>\n" );
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document.write( "So total pennies available = 27 * 3= 81\r<BR>\n" );
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document.write( "let bernard have x\r<BR>\n" );
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document.write( "and anne have y\r<BR>\n" );
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document.write( "Let charolette have z\r<BR>\n" );
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document.write( "charlotte has 1/2 x +1/6 y + z =27\r<BR>\n" );
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document.write( "bernard has 1/2 x +1/3 y=27  ( he gave half to charlotte and got 1/3 from anne)\r<BR>\n" );
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document.write( "Anne has y-(1/3 y +1/6 y) = 27 ( anne gave 1/3 to bernard and 1/6 to charolette\r<BR>\n" );
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document.write( "= y-1/2 y = 27\r<BR>\n" );
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document.write( "1/2 y =27\r<BR>\n" );
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document.write( "y=54 The pennies Anne has\r<BR>\n" );
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document.write( "Since y= 54\r<BR>\n" );
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document.write( "Bernard will have 1/2x+ 1/3 * 54 =27\r<BR>\n" );
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document.write( "=1/2 x = 9\r<BR>\n" );
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document.write( "x=18 the pennies bernard has\r<BR>\n" );
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document.write( "Charolette has the balance ie: 9 \r<BR>\n" );
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