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

Let's represent the number of cats and dogs available for adoption using a tape diagram.

We can start by drawing three sections to represent the cats (since the ratio is 3:5) and five sections to represent the dogs.

Cats: |||

Dogs: |||||

We know that there are 25 dogs available for adoption, so we can fill in five sections for the dogs.

Cats: |||

Dogs: |||||

We can see that there are three empty sections for the cats, so there are 3 cats available for adoption.

Answer 2

wrong

Answer 3

Apologies for the confusion. Let's reanalyze the problem and use a tape diagram to solve it correctly.

We are given that the ratio of cats to dogs available for adoption is 3:5. This means that for every 3 cats available, there are 5 dogs available.

Let's represent the cats and dogs using tape diagram boxes.

Cats: |||

Dogs: |||||

We are also given that there are 25 dogs available for adoption. We can fill in the tape diagram for the dogs.

Cats: |||

Dogs: |||||

Since the ratio of cats to dogs is 3:5, we can determine the number of cats by dividing the total number of dogs by the ratio's denominator (5) and then multiplying by the ratio's numerator (3).

Number of cats = (Number of dogs / Ratio denominator) * Ratio numerator
Number of cats = (25 / 5) * 3
Number of cats = 5 * 3
Number of cats = 15

Therefore, there are 15 cats available for adoption.