Question

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 48 animals wear collars, what is the total number of animals in the pet store?

Answer 1

Answer:

cat 2x dog 3x

collars cat 2x×1/4=x/2

collars dog 3x×1/2= 3x/2

so x/2+3x/2=48

2x=48

x=24

so total animal = 24×5 = 120