document.write( "Question 372817: the animal shelter has only dogs and cat's. there are 25% more dogs than cats. what percentage of the animals at the animal shelter are cats? explain your solution \n" ); document.write( "

Algebra.Com's Answer #265533 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"d\"$ = number of dogs
\n" ); document.write( "Let $\"c\"$ = number of cats
\n" ); document.write( "given:
\n" ); document.write( " $\"d+=+c+%2B+.25c\"$
\n" ); document.write( "The percentage of animals that are cats =
\n" ); document.write( " $\"%28c%2F%28c+%2B+d%29%29%2A100\"$
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"%28c%2F%28c+%2B+c+%2B+.25c%29%29%2A100\"$
\n" ); document.write( " $\"%28c%2F2.25c%29%2A100\"$
\n" ); document.write( " $\"%281%2F2.25%29%2A100\"$
\n" ); document.write( " $\"44.44\"$
\n" ); document.write( "The cats are 44.44% of the animals
\n" ); document.write( "check:
\n" ); document.write( "If there were 125 dogs,
\n" ); document.write( " $\"d+=+c+%2B+.25c\"$
\n" ); document.write( " $\"125+=+1.25c\"$
\n" ); document.write( " $\"c+=+100\"$
\n" ); document.write( " $\"%28c%2F%28c+%2B+d%29%29%2A100\"$
\n" ); document.write( " $\"%28100%2F%28100+%2B+125%29%29%2A100\"$
\n" ); document.write( " $\"%28100%2F225%29%2A100+=+10000%2F225\"$
\n" ); document.write( " $\"10000%2F225+=+44.44\"$ \n" ); document.write( "

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