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An animal shelter has a total of 450 animals comprised of cats, dogs, and rabbits. If the number of rabbits is 10 less than one-half

An animal shelter has a total of 450 animals comprised of cats, dogs, and rabbits. If the number of rabbits is 10 less than one-half the number of cats, and there are 15 more cats than dogs, how many of each type of animal are at the shelter?

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