Answer:Let's break down this problem: Understanding the Ratio - The ratio 6:5 means that for every 6 cats, there are 5 dogs. Finding the Total Parts - Add the ratio parts: 6 + 5 = 11 Calculating the Value of One Part - Divide the total number of animals by the total parts: 495 animals / 11 parts = 45 animals per part Finding the Number of Cats - Multiply the value of one part by the number of parts representing cats: 45 animals/part * 6 parts = 270 cats Finding the Number of Dogs - Multiply the value of one part by the number of parts representing dogs: 45 animals/part * 5 parts = 225 dogs Answers - a) There are 270 cats.- b) There are 225 dogs.