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 #845143 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "It's awkward to discuss the problem without units, so I will assume the given dimensions are centimeters.<br><BR>\n" );
document.write( "The volume of water is the volume of container A, which is 40*25*30 = 30,000 cm^3.<br><BR>\n" );
document.write( "Let x be the height (depth) of the water in the two containers after some of it is poured into container B.<BR>\n" );
document.write( "Then the volume of water in container A is (25*30)*x = 750x<BR>\n" );
document.write( "And the volume of water in container B is (25*18)*x = 450x<br><BR>\n" );
document.write( "The volume of water in the two containers is the original 30,000 cm^3:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=750x%2B450x+=+30000 ALIGN=MIDDLE  ALT=\"750x%2B450x+=+30000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200x=30000 ALIGN=MIDDLE  ALT=\"1200x=30000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=30000%2F1200=25 ALIGN=MIDDLE  ALT=\"x=30000%2F1200=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: 25cm<br><BR>\n" );
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