document.write( "Question 1180160: Anna is a teacher and her cousins are a banker, a salesperson, and an engineer. All of them
\n" ); document.write( "sit around a table. Anna sits on Melody's left. Chinky sits at the banker's right. Katherine, who
\n" ); document.write( "faces Melody, is not the salesperson. Determine the seating arrangement of the cousins. \n" ); document.write( "

Algebra.Com's Answer #850099 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Anna is a teacher and her cousins are a banker, a salesperson, and an engineer.
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\n" ); document.write( "\n" ); document.write( "(a) Anna sits on Melody's left. \r
\n" ); document.write( "\n" ); document.write( "(b) Chinky sits at the banker's right. \r
\n" ); document.write( "\n" ); document.write( "(c) Katherine, who faces Melody, is not the salesperson. \r
\n" ); document.write( "\n" ); document.write( "Determine the seating arrangement of the cousins.
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document.write( "(1)  In the Figure below, I placed 4 symbols \"around a circle table\".\r\n" );
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document.write( "     \"A\" is Ann. There is only one place at the table, where \"Anna sits on it left\".\r\n" );
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document.write( "     Hence, this place is for Melody, and I marked it M.  And we know that Chinky is not a salesperson.\r\n" );
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document.write( "               A (teacher)\r\n" );
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document.write( "         M           Y \r\n" );
document.write( "  \r\n" );
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document.write( "               X\r\n" );
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document.write( "            Figure 1.\r\n" );
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document.write( "     Two other persons are unknown now.  I marked them X and Y in the figure.\r\n" );
document.write( "     Obviously, X and Y are either Chinky or Katherine - we don't know who of them is X and who is Y.\r\n" );
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document.write( "(2)  Condition (c) says \"Katherine, who faces Melody, is not the salesperson\".\r\n" );
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document.write( "     It means X = Katherine (K),  and I update this information in the next figure.\r\n" );
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document.write( "     \r\n" );
document.write( "               A (teacher)\r\n" );
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document.write( "         M           Y \r\n" );
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document.write( "               K (not a salesperson)\r\n" );
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document.write( "            Figure 2.\r\n" );
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document.write( "(3)  Hence, Y  is Chinky (the only possibility left),\r\n" );
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document.write( "     and I update this information in the next figure.\r\n" );
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document.write( "               A (teacher)\r\n" );
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document.write( "         M           C\r\n" );
document.write( "  \r\n" );
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document.write( "               K (not a salesperson)\r\n" );
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document.write( "            Figure 3.\r\n" );
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document.write( "    +----------------------------------------------+\r\n" );
document.write( "    |    Thus the seating arrangement of cousins   |\r\n" );
document.write( "    |     is determined completely in Figure 3.    |\r\n" );
document.write( "    +----------------------------------------------+\r\n" );
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document.write( "**********************************************************************\r\n" );
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document.write( "We can make one step forward and to learn more about their occupations.\r\n" );
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document.write( "Condition (b) says \"Chinky sits at the banker's right\". \r\n" );
document.write( "Hence, from the Figure 3, K, or Katherine, is the baker.\r\n" );
document.write( "\r\n" );
document.write( "               A (teacher)\r\n" );
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document.write( "         M           C\r\n" );
document.write( "  \r\n" );
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document.write( "               K (banker)\r\n" );
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document.write( "            Figure 4.\r\n" );
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document.write( "We have no more information to complete with their occupation.\r\n" );
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