To find out how many cats are in the pet shop, we first need to determine the total number of animals in the shop using the given ratio of cats to dogs, which is 5:3.
1. Since the ratio of cats to dogs is 5:3, we can find the total parts as 5 parts (cats) + 3 parts (dogs) = 8 parts.
2. We know that there are 135 dogs in the pet shop, so each part represents 135 dogs divided by 3 (parts of dogs) = 45 dogs per part.
3. To find the number of cats, we multiply the number of parts representing cats (5 parts) by the number of dogs per part (45 dogs).
5 parts (cats) * 45 dogs = 225 cats in the pet shop.
Therefore, there are 225 cats in the pet shop.