Problema Solution
A certain pet store has only cats and dogs. The ratio of the number of cats to the number of dogs in the pet store is 2:3. 1/4 of the cats and 1/2 of the dogs wear collars. If there are 48 animals that wear collars, how many animals are in the pet store?
Answer provided by our tutors
The number of cats to the number of dogs is 2:3 means we can represent the cats with 2x and the dogs with 3x, where x is integer.
The total number of animals is 2x + 3x = 5x.
(1/4)2x + (1/2)3x = 48
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click here to see the equation solved for x
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x = 24
5x = 5*24 = 120 animals
There are 120 animals in the store.