document.write( "Question 550086: Michael Phelps has 6 gold medals to place on an empty, three-shelf display case. The six medals are individual medals 1, 2, 3, and relay medals 4, 5, 6. The three shelves of the display case are labeled A, B, C (top to bottom). Any of the shelves may remain empty. The placement of the medals must obey the following rules:\r
\n" ); document.write( "\n" ); document.write( "i) 4 & 6 may not be on the same shelf
\n" ); document.write( "ii) 1 must be on the shelf directly above the shelf 6 is on
\n" ); document.write( "iii) No shelf may hold all three individual medals
\n" ); document.write( "iv) Medal 5 may not be on shelf B\r
\n" ); document.write( "\n" ); document.write( "If medal 4 is on shelf B, what other medal must also be on the same shelf? \n" ); document.write( "

Algebra.Com's Answer #358434 by Edwin McCravy(20060) $\"\"$ $\"About$

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Michael Phelps has 6 gold medals to place on an empty, three-shelf display case.
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document.write( "[I suppose near his bong collection J!\r\n" );
document.write( "About two years ago, Michael was photographed smoking weed in a bong \r\n" );
document.write( "here in my hometown of Columbia SC!\r\n" );
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\n" ); document.write( "The six medals are individual medals 1, 2, 3, and relay medals 4, 5, 6. The
\n" ); document.write( "three shelves of the display case are labeled A, B, C (top to bottom). Any of
\n" ); document.write( "the shelves may remain empty. The placement of the medals must obey the
\n" ); document.write( "following rules:\r
\n" ); document.write( "\n" ); document.write( "i) 4 & 6 may not be on the same shelf
\n" ); document.write( "ii) 1 must be on the shelf directly above the shelf 6 is on
\n" ); document.write( "iii) No shelf may hold all three individual medals
\n" ); document.write( "iv) Medal 5 may not be on shelf B\r
\n" ); document.write( "\n" ); document.write( "If medal 4 is on shelf B, what other medal must also be on the same shelf?
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document.write( "We only need the first 2 clues. The last two are irrelevant.\r\n" );
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document.write( "If 4 is on B, then 6 is not on B by clue i)\r\n" );
document.write( "So where is 6? Either A or C. But 6 can't be on A \r\n" );
document.write( "because clue ii) says 1 must be on the shelf above 6,\r\n" );
document.write( "but there is no shelf above A. So 6 must be on C, and\r\n" );
document.write( "by clue ii) 1 is above it on B.  So the answer is 1.\r\n" );
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document.write( "Edwin

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