2. At the kennel, the ratio of cats to dogs is \( 4: 5 \). There are 27 animals in all. Here is a tape diagram representing this ratio. a. What is the value of each small rectangle? b. How many dogs are at the kennel? c. How many cats are at the kennel? number of cats month, how many days were rainy? Explain your reasoning. If you get stuck, consider using a tape diagram.
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To tackle this fun math problem, let's first figure out how many total parts we have in the ratio. The ratio of cats to dogs is \( 4:5 \), which adds up to \( 4 + 5 = 9 \) parts. Since there are 27 animals total, each small rectangle (or part) represents \( 27 \div 9 = 3 \) animals. Now, to find the number of dogs at the kennel, we simply look at the dog part of the ratio. There are 5 parts for dogs, so \( 5 \times 3 = 15 \) dogs. For cats, with 4 parts, we have \( 4 \times 3 = 12 \) cats. So, in total, you can brag about having 12 cats and 15 dogs at the kennel! A bustling place, for sure!
