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)

Answer 1

First, let's represent the ratio of cats to dogs as 3:5 using a tape diagram.
We will divide the tape diagram into 3 equal parts for cats and 5 equal parts for dogs.
Thus, each part of the tape diagram represents 1 cat or 1 dog.

There are 25 dogs available for adoption, so we will draw 25 parts of the tape diagram to represent the dogs.

Since there are 5 parts in the tape diagram for dogs, each part represents 25 / 5 = <<25/5=5>>5 dogs.

Now, we need to determine the number of parts in the tape diagram for cats.
Since the ratio of cats to dogs is 3:5, we have 3 parts for cats.

If 5 parts represent 25 dogs, then 1 part represents 25 / 5 = <<25/5=5>>5 dogs.
So, if 1 part represents 5 dogs, then 3 parts represent 3 * 5 = <<3*5=15>>15 dogs.

Therefore, there are 15 cats available for adoption.