document.write( "Question 408217: i need an example of a distance, a chemistry, and a \"heads and legs\" word problem and the answers. my teacher was talking about them and i didnt know what they were \n" ); document.write( "
Algebra.Com's Answer #287648 by josmiceli(19441)\"\" \"About 
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A heads and legs problem:\r
\n" ); document.write( "\n" ); document.write( "A farmer has chickens and cows. He counts 40 heads and 86 legs
\n" ); document.write( "How many chickens and cows does he have?
\n" ); document.write( "Let \"c\" = number of chickens
\n" ); document.write( "Let \"m\" = number of cows
\n" ); document.write( "-------------------------
\n" ); document.write( "given:
\n" ); document.write( "(1) \"c+%2B+m+=+40\" (all have just 1 head)
\n" ); document.write( "(2) \"2c+%2B+4m+=+86\"
\n" ); document.write( "----------------
\n" ); document.write( "This is 2 equations and 2 unknowns, so it's solvable
\n" ); document.write( "from (2):
\n" ); document.write( "\"c+%2B+2m+=+43\"
\n" ); document.write( "\"c+=+43+-+2m\"
\n" ); document.write( "By substitution:
\n" ); document.write( "\"43+-+2m+%2B+m+=+40\"
\n" ); document.write( "\"m+=+3\"
\n" ); document.write( "and
\n" ); document.write( "\"c+%2B+m+=+40\"
\n" ); document.write( "\"c+=+40+-+3\"
\n" ); document.write( "\"c+=+37\"
\n" ); document.write( "There are 3 cows and 37 chickens
\n" ); document.write( "Check answer:
\n" ); document.write( "(2) \"2c+%2B+4m+=+86\"
\n" ); document.write( "\"2%2A37+%2B+4%2A3+=+86\"
\n" ); document.write( "\"74+%2B+12+=+86\"
\n" ); document.write( "\"86+=+86\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );