SOLUTION: 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

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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
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = number of dogs
Let c = number of cats
given:
d+=+c+%2B+.25c
The percentage of animals that are cats =
%28c%2F%28c+%2B+d%29%29%2A100
By substitution:
%28c%2F%28c+%2B+c+%2B+.25c%29%29%2A100
%28c%2F2.25c%29%2A100
%281%2F2.25%29%2A100
44.44
The cats are 44.44% of the animals
check:
If there were 125 dogs,
d+=+c+%2B+.25c
125+=+1.25c
c+=+100
%28c%2F%28c+%2B+d%29%29%2A100
%28100%2F%28100+%2B+125%29%29%2A100
%28100%2F225%29%2A100+=+10000%2F225
10000%2F225+=+44.44