document.write( "Question 1207330: Container A was filled with water to the brim. Then, some of the water was
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Algebra.Com's Answer #845147 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "When container A was filled with water to the brim, the volume of water in it\r\n" );
document.write( "was lwh=(25)(30)(40). \r\n" );
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document.write( "Then, some water from A was poured into B (when B was empty), until the height\r\n" );
document.write( "of the water in both containers was the same. \r\n" );
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document.write( "Let that common height be the unknown x.  \r\n" );
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document.write( "So the height of the water in A went down from 40 to x. Therefore the volume \r\n" );
document.write( "of water in A was reduced to lwh=(25)(30)x.\r\n" );
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document.write( "and\r\n" );
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document.write( "the height of the water in B went up from 0 to x. Therefore the volume of water\r\n" );
document.write( "in B went up from 0 to lwh=(25)(18)x.\r\n" );
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document.write( "Then the sum of the volumes of water in both containers afterward was the same\r\n" );
document.write( "amount of water as was in container A at the beginning, so we have an equation:\r\n" );
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document.write( "(25)(30)x + (25)(18)x = (25)(30)(40)\r\n" );
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document.write( "Solve that for x and you'll get the correct answer.\r\n" );
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document.write( "[Note. You may connect this problem to something you may have learned in your\r\n" );
document.write( "science class as to how to get the water levels the same. Although the problem\r\n" );
document.write( "says the water was 'poured' from A to B, a better (or at least more scientific)\r\n" );
document.write( "way to get the levels the same would be to use a siphon.  A siphon is a water-\r\n" );
document.write( "filled tube connecting the water in the two containers.  The water at the bottom\r\n" );
document.write( "of A must support the heavy weight of all the water above it, so the upper water\r\n" );
document.write( "in A will \"push down\" on the lower water in A forcing water to flow up the tube\r\n" );
document.write( "from A into B.  The heavy upper water in A will continue to \"push down\" on the\r\n" );
document.write( "lower water in A, forcing water up the tube from A into B, until the water\r\n" );
document.write( "levels are the same.]     \r\n" );
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document.write( "Edwin
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