document.write( "Question 1001031: A farmer has chickens and goats,with at least one of each. The chickens and goats together have a total of 100 legs. (4 legs per goat and 2 legs per chicken) How many different combinations of chickens and goats could there be? Sorry for not knowing the right category. But all I have so far is 4x+2y=100 \n" ); document.write( "

Algebra.Com's Answer #618329 by Edwin McCravy(20054) $\"\"$ $\"About$

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A farmer has chickens and goats,with at least one of each.
\n" ); document.write( "The chickens and goats together have a total of 100 legs.
\n" ); document.write( "(4 legs per goat and 2 legs per chicken) How many different
\n" ); document.write( "combinations of chickens and goats could there be? Sorry
\n" ); document.write( "for not knowing the right category. But all I have so far
\n" ); document.write( "is 4x+2y=100
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document.write( "You are letting x be the number of goats and y be the number \r\n" );
document.write( "of chickens.  Divide that through by 2\r\n" );
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document.write( "   2x+y=50\r\n" );
document.write( "      y=50-2x\r\n" );
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document.write( "If they were all goats and no chickens,\r\n" );
document.write( "thre would be x = 100/4 = 25 goats. But we must\r\n" );
document.write( "have at least 1 chicken, so the number of\r\n" );
document.write( "goats, x, can only be 1 to 24, inclusive. So \r\n" );
document.write( "there are 24 combinations of goats and chickens.\r\n" );
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document.write( " 1.   x=1 goat  and y=50-2(1)  = 50-2  = 48 chickens.\r\n" );
document.write( " 2.   x=2 goats and y=50-2(2)  = 50-4  = 46 chickens.\r\n" );
document.write( " 3.   x=3 goats and y=50-2(3)  = 50-6  = 44 chickens.\r\n" );
document.write( " 4.   x=4 goats and y=50-2(4)  = 50-8  = 42 chickens.\r\n" );
document.write( " 5.   x=5 goats and y=50-2(5)  = 50-10 = 40 chickens.\r\n" );
document.write( " 6.   x=6 goats and y=50-2(6)  = 50-12 = 38 chickens.\r\n" );
document.write( " 7.   x=7 goats and y=50-2(7)  = 50-14 = 36 chickens.\r\n" );
document.write( " 8.   x=8 goats and y=50-2(8)  = 50-16 = 34 chickens.\r\n" );
document.write( " 9.   x=9 goats and y=50-2(9)  = 50-18 = 32 chickens.\r\n" );
document.write( "10.  x=10 goats and y=50-2(10) = 50-20 = 30 chickens.\r\n" );
document.write( "11.  x=11 goats and y=50-2(11) = 50-22 = 28 chickens.\r\n" );
document.write( "12.  x=12 goats and y=50-2(12) = 50-24 = 26 chickens.\r\n" );
document.write( "13.  x=13 goats and y=50-2(13) = 50-26 = 24 chickens.\r\n" );
document.write( "14.  x=14 goats and y=50-2(14) = 50-28 = 22 chickens.\r\n" );
document.write( "15.  x=15 goats and y=50-2(15) = 50-30 = 20 chickens.\r\n" );
document.write( "16.  x=16 goats and y=50-2(16) = 50-32 = 18 chickens.\r\n" );
document.write( "17.  x=17 goats and y=50-2(17) = 50-34 = 16 chickens.\r\n" );
document.write( "18.  x=18 goats and y=50-2(18) = 50-36 = 14 chickens.\r\n" );
document.write( "19.  x=19 goats and y=50-2(19) = 50-38 = 12 chickens.\r\n" );
document.write( "20.  x=20 goats and y=50-2(20) = 50-40 = 10 chickens.\r\n" );
document.write( "21.  x=21 goats and y=50-2(21) = 50-42 = 8  chickens.\r\n" );
document.write( "22.  x=22 goats and y=50-2(22) = 50-44 = 6  chickens.\r\n" );
document.write( "23.  x=23 goats and y=50-2(23) = 50-46 = 4  chickens.\r\n" );
document.write( "24.  x=24 goats and y=50-2(24) = 50-48 = 2  chickens.\r\n" );
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document.write( "Edwin

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