document.write( "Question 401045: there are 10 times more ants than mice and 4 times more mice than chickens. All together they have 1,806 feet. How many chickens are there?\r
\n" ); document.write( "\n" ); document.write( "Please show all work \n" ); document.write( "

Algebra.Com's Answer #283791 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ number of ants
\n" ); document.write( "Let $\"m\"$ = number of mice
\n" ); document.write( "Let $\"c\"$ = number of chickens
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"a+=+10m\"$
\n" ); document.write( "(2) $\"m+=+4c\"$
\n" ); document.write( "(3) $\"6a+%2B+4m+%2B+2c+=+1806\"$
\n" ); document.write( "----------------------------------
\n" ); document.write( "Substituting (2) in (1):
\n" ); document.write( "(1) $\"a+=+10%2A%284c%29\"$
\n" ); document.write( "(1) $\"a+=+40c\"$
\n" ); document.write( "Now substitute (1) and (20 in (3):
\n" ); document.write( "(3) $\"6%2A%2840c%29+%2B+4%2A%284c%29+%2B+2c+=+1806\"$
\n" ); document.write( " $\"240c+%2B+16c+%2B+2c+=+1806\"$
\n" ); document.write( " $\"258c+=+1806\"$
\n" ); document.write( " $\"c+=+7\"$
\n" ); document.write( "There are 7 chickens
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"m+=+4c\"$
\n" ); document.write( " $\"m+=+28\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"a+=+40c\"$
\n" ); document.write( " $\"a+=+280\"$
\n" ); document.write( "so,
\n" ); document.write( "(3) $\"6a+%2B+4m+%2B+2c+=+1806\"$
\n" ); document.write( " $\"6%2A280+%2B+4%2A28+%2B+2%2A7+=+1806\"$
\n" ); document.write( " $\"1680+%2B+112+%2B+14+=+1806\"$
\n" ); document.write( " $\"1806+=+1806\"$
\n" ); document.write( "OK \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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