document.write( "Question 264037: Inside a barn are lambs and people. If we count 30 heads and 104 legs in the barn, how many lambs and how many people do we have in the barn? \n" ); document.write( "

Algebra.Com's Answer #194471 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"p\"$ = number of people
\n" ); document.write( "Let $\"b\"$ = number of lambs (b is for baa)
\n" ); document.write( "They all have 1 head each, so
\n" ); document.write( "(1) $\"p+%2B+b+=+30\"$
\n" ); document.write( "People have 2 legs, and lambs have 4, so
\n" ); document.write( "(2) $\"2p+%2B+4b+=+104\"$
\n" ); document.write( "Multiply both sides of (1) by $\"2\"$ and
\n" ); document.write( "subtract from (2)
\n" ); document.write( "(2) $\"2p+%2B+4b+=+104\"$
\n" ); document.write( "(1) $\"-2p+-+2b+=+-60\"$
\n" ); document.write( " $\"2b+=+44\"$
\n" ); document.write( " $\"b+=+22\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"p+%2B+b+=+30\"$
\n" ); document.write( " $\"p+=+30+-+22\"$
\n" ); document.write( " $\"p+=+8\"$
\n" ); document.write( "There are 8 people and 22 lambs
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"2p+%2B+4b+=+104\"$
\n" ); document.write( " $\"2%2A8+%2B+4%2A22+=+104\"$
\n" ); document.write( " $\"16+%2B+88+=+104\"$
\n" ); document.write( " $\"104+=+104\"$
\n" ); document.write( "OK \n" ); document.write( "

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