document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207330>Question 1207330</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Container A was filled with water to the brim. Then, some of the water was<BR>\n" );
document.write( "poured into an empty Container B until the height of the water in both<BR>\n" );
document.write( "containers was the same. Find the new height in both water containers. \r<BR>\n" );
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document.write( "Dimensions of container A: height=40, length= 25, width= 30\r<BR>\n" );
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document.write( "Dimensions of container B: height= unknown, length=25, width=18<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 #845142 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=845142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x  be the volume in A after pouring into B<BR>\n" );
document.write( "Let y be the volume in B  after pouring<BR>\n" );
document.write( "Full volume in A = L*w*h =30000\r<BR>\n" );
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document.write( "x+y =30000\r<BR>\n" );
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document.write( "Volume in A after pouring <BR>\n" );
document.write( "x = A*h<BR>\n" );
document.write( "x = h*25*30<BR>\n" );
document.write( "x = 750h<BR>\n" );
document.write( "h = x/750\r<BR>\n" );
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document.write( "Volume in B = h *25*18<BR>\n" );
document.write( "y = 450h\r<BR>\n" );
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document.write( "h= y/450\r<BR>\n" );
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document.write( "Heights are same after pouring\r<BR>\n" );
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document.write( "x/750 = y/450\r<BR>\n" );
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document.write( "x = y*750/450\r<BR>\n" );
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document.write( "x = 5y/3\r<BR>\n" );
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document.write( "x+y =30000    ( full volume in A)<BR>\n" );
document.write( "substitute x\r<BR>\n" );
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document.write( "5y/ 3 + y = 30000\r<BR>\n" );
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document.write( "8y/3 = 30000\r<BR>\n" );
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document.write( "8y = 90000<BR>\n" );
document.write( "y = 90000/8<BR>\n" );
document.write( "y=11250  ( Volume in B after pouring)\r<BR>\n" );
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document.write( "x = 30000-11250<BR>\n" );
document.write( "x=18750  (volume in A after pouring)\r<BR>\n" );
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document.write( "Volume / area = h\r<BR>\n" );
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document.write( "18750/750 = 25\r<BR>\n" );
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document.write( "Volume in B = 30000-18750 =11250\r<BR>\n" );
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document.write( "h= 11250/450 =25\r<BR>\n" );
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document.write( "Height same after pouring\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );