document.write( "Question 1108378: A group of students is On a sightseeing tour. The total fare is $120
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Algebra.Com's Answer #723380 by ikleyn(52802) $\"\"$ $\"About$

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document.write( "The condition says \r\n" );
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document.write( "N*P = 120            (1)\r\n" );
document.write( "(N+2)*(P-2) = 120    (2)\r\n" );
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document.write( "where N = the number of students, P = how much each of N students must pay.\r\n" );
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document.write( "Transform (2) in this way:\r\n" );
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document.write( "N*P + 2P - 2N - 4 = 120,\r\n" );
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document.write( "120 + 2(P-N) - 4 = 120,\r\n" );
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document.write( "2*(P-N) = 4  ====>  P-N = 2.\r\n" );
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document.write( "So, you have \r\n" );
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document.write( "PN = 120, \r\n" );
document.write( "P-N = 2,\r\n" );
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document.write( "and you can easily (MENTALLY) get the answer  P = 12, N = 10.\r\n" );
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