document.write( "Question 131973: A farmer has both pigs and chickens on his farm. There are 78 feet and 27 heads. How many pigs and how many chickens are there? \n" ); document.write( "

Algebra.Com's Answer #96408 by josmiceli(19441) $\"\"$ $\"About$

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$\"p\"$ = number of pigs
\n" ); document.write( " $\"c\"$ = number of chickens
\n" ); document.write( "They all have exactly 1 head, so
\n" ); document.write( "(1) $\"p+%2B+c+=+27\"$
\n" ); document.write( "(2) $\"4p+%2B+2c+=+78\"$
\n" ); document.write( "Multiply (1) by $\"-2\"$ and add to (2)
\n" ); document.write( " $\"4p+%2B+2c+=+78\"$
\n" ); document.write( " $\"-2p+-+2c+=+-54\"$
\n" ); document.write( " $\"2p+=+24\"$
\n" ); document.write( " $\"p+=+12\"$
\n" ); document.write( " $\"12+%2B+c+=+27\"$
\n" ); document.write( " $\"c+=+15\"$
\n" ); document.write( "There are 12 pigs and 15 chickens
\n" ); document.write( "check:
\n" ); document.write( " $\"4p+%2B+2c+=+78\"$
\n" ); document.write( " $\"4%2A12+%2B+2%2A15+=+78\"$
\n" ); document.write( " $\"48+%2B+30+=+78\"$
\n" ); document.write( " $\"78+=+78\"$
\n" ); document.write( "OK
\n" ); document.write( "
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