Question

1. at the kennel, the ratio of cats to dogs is 4:5. there are 27 animals at the

kennel. draw a diagram representing this ratio.
number of cats
number of dogs
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?

Explanation:

Step1: Find the total number of parts

The ratio of cats to dogs is \(4:5\). So the total number of parts is \(4 + 5=9\) parts.

Step2: Find the value of each part (for part a)

There are 27 animals in total. Let \(x\) be the value of each part. Then \(9x = 27\). Solving for \(x\), we get \(x=\frac{27}{9}=3\).

Step3: Find the number of dogs (for part b)

Since the number of parts for dogs is 5 and each part is 3. The number of dogs is \(5\times3 = 15\).

Step4: Find the number of cats (for part c)

Since the number of parts for cats is 4 and each part is 3. The number of cats is \(4\times3=12\).

Answer:

a. The value of each small rectangle is \(3\).
b. There are \(15\) dogs at the kennel.
c. There are \(12\) cats at the kennel.