document.write( "Question 373744: There are 34 cats & dogs total. Cats eat .5 cans of food/day, dogs eat 1.5 cans of food/day. In 1 day, cats & dogs eat 36 cans. How many cats are there? How many dogs are there? \n" ); document.write( "

Algebra.Com's Answer #265969 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"c\"$ = number of cats
\n" ); document.write( "Let $\"d\"$ = number of dogs
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"c+%2B+d+=+34\"$
\n" ); document.write( "In 1 day, $\"c\"$ cats eat $\".5c\"$ cans of food
\n" ); document.write( "In 1 day $\"d\"$ dogs eat $\"1.5d\"$ cans of food
\n" ); document.write( "(2) $\".5c+%2B+1.5d+=+36\"$
\n" ); document.write( "(2) $\"5c+%2B+15d+=+360\"$
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$
\n" ); document.write( "and subtract from (2)
\n" ); document.write( "(2) $\"5c+%2B+15d+=+360\"$
\n" ); document.write( "(1) $\"-5c+-+5d+=+170\"$
\n" ); document.write( " $\"10d+=+190\"$
\n" ); document.write( " $\"d+=+19\"$
\n" ); document.write( "And, since
\n" ); document.write( "(1) $\"c+%2B+d+=+34\"$
\n" ); document.write( " $\"c+%2B+19+=+34\"$
\n" ); document.write( " $\"c+=+15\"$
\n" ); document.write( "Ther are 15 cats and 19 dogs \n" ); document.write( "

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