document.write( "Question 147190: A rancher has some sheep and ostriches. His young daughter observed that the animals have a total of 60 eyes and 86 feet. How many animals of each type does the rancher have? \n" ); document.write( "

Algebra.Com's Answer #107517 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"s\"$ = number of sheep
\n" ); document.write( "Let $\"b\"$ = number of ostriches
\n" ); document.write( " $\"4s\"$ = number of legs that sheep have
\n" ); document.write( " $\"2b\"$ = number of legs that ostriches have
\n" ); document.write( " $\"2%2A%28s+%2B+b%29\"$ = number of eyes sheep and ostriches together have
\n" ); document.write( " $\"4s+%2B+2b+=+86\"$
\n" ); document.write( "Divide both sides by $\"2\"$
\n" ); document.write( " $\"2s+%2B+b+=+43\"$
\n" ); document.write( "and
\n" ); document.write( " $\"2s+%2B+2b+=+60\"$
\n" ); document.write( "Divide both sides by $\"2\"$
\n" ); document.write( " $\"s+%2B+b+=+30\"$
\n" ); document.write( " $\"b+=+30+-+s\"$
\n" ); document.write( "Substitute this in the other equation
\n" ); document.write( " $\"2s+%2B+b+=+43\"$
\n" ); document.write( " $\"2s+%2B+30+-+s+=+43\"$
\n" ); document.write( " $\"s+=+13\"$
\n" ); document.write( " $\"b+=+30+-+s\"$
\n" ); document.write( " $\"b+=+30+-+13\"$
\n" ); document.write( " $\"b+=+17\"$
\n" ); document.write( "There are 13 sheep and 17 ostriches
\n" ); document.write( "check:
\n" ); document.write( " $\"4s+%2B+2b+=+86\"$
\n" ); document.write( " $\"4%2A13+%2B+2%2A17+=+86\"$
\n" ); document.write( " $\"52+%2B+34+=+86\"$
\n" ); document.write( " $\"86+=+86\"$
\n" ); document.write( "OK \n" ); document.write( "

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