document.write( "Question 545824: a man is planning to fence the front part of his property with posts 2m apart. Short of money he decides to make the posts 3 m apart and uses 3 posts less. how wide is the property? \n" ); document.write( "
Algebra.Com's Answer #355743 by Edwin McCravy(20055)\"\" \"About 
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document.write( "There is 1 more post than there are sections of fence between the posts.\r\n" );
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document.write( "He was originally planning to have N posts and N-1 2m sections of fence\r\n" );
document.write( "between the posts, like this:\r\n" );
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document.write( "|  2m  |  2m  |  2m  |  2m  |  2m  |  ....  |  2m  |\r\n" );
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document.write( "But short of money he decided to have N-3 posts and N-4 3m sections of\r\n" );
document.write( "fence between the posts instead, like this:\r\n" );
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document.write( "|   3m   |   3m   |   3m   |   3m   | ... |   3m   |\r\n" );
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document.write( "So  (N-1)×2 = (N-4)×3\r\n" );
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document.write( "    \r\n" );
document.write( "     2(N-1) = 3(N-4)\r\n" );
document.write( "     2N - 2 = 3N - 12\r\n" );
document.write( "         -N = -10\r\n" );
document.write( "          N = 10\r\n" );
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document.write( "So he was going to have 10 posts and 9 2m sections of fence between\r\n" );
document.write( "them, so his property is 9×2m = 18m wide.\r\n" );
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document.write( "To check:  Instead he used 7 posts and 6 3m sections of fence between\r\n" );
document.write( "them, so his property is 6×3m = 18m wide.  \r\n" );
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document.write( "So both ways his property is 18m wide.\r\n" );
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document.write( "Edwin
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