An animal shelter has cats and dogs available for adoption in a ratio of 3:5 . If there are 25 dogs available for adoption, how many cats are available? Use a tape diagram to help organize your thinking.(1 point)

Question

cats

Answer 1

To create a tape diagram, we will represent each cat and dog using a square.

Since the ratio of cats to dogs is 3:5, we can represent this as:

C C C | D D D D D

Here, each "C" represents a cat and each "D" represents a dog.

If there are 25 dogs available for adoption, we can fill in the number of dogs:

C C C | D D D D D

Now, we can compare the number of dogs to the ratio.

Since 5 represents the total number of parts in the ratio (3 for cats and 5 for dogs), we can divide the total number of dogs by 5 to find the value of each part:

25 dogs / 5 = 5

Each part represents 5 dogs.

Now, we can multiply the value of each part by the number of parts for cats (3) to find the total number of cats:

5 dogs/part * 3 parts = 15 cats

Therefore, there are 15 cats available for adoption.