Final answer:
To find the number of dogs, we need to determine the value of the ratio. In this case, the ratio of cats to dogs is 6:5.
Step-by-step explanation:
To find the number of dogs, we need to determine the value of the ratio. In this case, the ratio of cats to dogs is 6:5, which means for every 6 cats, there are 5 dogs.
We are given that there are 495 dogs and cats in total. If we represent the number of dogs as 5x, then the number of cats can be represented as 6x. The sum of these two quantities is 495, so 5x + 6x = 495.
Combining like terms, we have 11x = 495, and dividing both sides by 11 gives us x = 45. Therefore, the number of dogs is 5x = 5(45) = 225.