document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42783>Question 42783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cans x and y both contain some water.  From x Jim pours as much water into y as y already contains.  Then from y he pours as much water into x as y presently has.  Finally he pours from x to y as much water as y presently has.  Each can now contains 24 ounces of water.  how many ounces of water were in each can at the start? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27976 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the cans initially contain 'u' and 'v' amounts of water respectively.\r<BR>\n" );
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document.write( "As Jim pours ,from X, as much water into Y as Y already contains so after the first operation, X contains (u-v) and Y contains (v + v =) '2v' amount of water.\r<BR>\n" );
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document.write( "Next, he pours 'v' amount of water from Y into X (as presently Y has 'v' amount of water).<BR>\n" );
document.write( "So volume of water in Y becomes 'v' and amount of water in X becomes (u-v) + v = u.\r<BR>\n" );
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document.write( "Again, Jim pours 'v' amount of water into Y (as presently Y has 'v' amount of water).<BR>\n" );
document.write( "So volume of water in Y becomes '2v' and amount of water in X becomes (u-v).<BR>\n" );
document.write( "These are the final amounts of water present in X and Y.<BR>\n" );
document.write( "Final content in each vessel is 24 ounces.\r<BR>\n" );
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document.write( "Thus we have two equations: <BR>\n" );
document.write( "u - v = 24 and 2v = 24.<BR>\n" );
document.write( "The equation: 2v =24 gives v = 24/2 = 12.<BR>\n" );
document.write( "Then from u - v = 24 we get u = 24 + v = 24 + 12 = 36.\r<BR>\n" );
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document.write( "As the initial contents of the vessels were 'u' and 'v' so they contained 36 and 12 ounces of water respectively. </SPAN>\n" );
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