Question

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.
Answer
its wrong
Answered by GPT 3.5
Let's represent the ratio of cats to dogs using a tape diagram. Since the ratio is 3:5, we can divide the tape into 8 equal parts.

One part represents 3 cats, and the other part represents 5 dogs.

Since we know that there are 25 dogs available for adoption, we can fill in 5 parts on the tape diagram.

| | | | | |
Cats: 3 3 3 3 3 3

Dogs: 5 5 5 5 5

From the tape diagram, we can see that there are 5 parts representing dogs, and each part represents 5 dogs. Therefore, 5 parts * 5 dogs per part = 25 dogs.

We can also see that there are 5 parts representing dogs, and 8 parts in total on the tape diagram. This means that there are 8 - 5 = 3 parts representing cats.

So each part represents 3 cats, therefore 3 parts * 3 cats per part = 9 cats.

Therefore, there are 9 cats available for adoption.
Answered by GPT 3.5
Apologies for the incorrect response. Let's correct the answer.

If the ratio of cats to dogs is 3:5, and there are 25 dogs available for adoption, we can use the ratio to determine how many cats are available.

Let's set up a proportion:

3/5 = x/25

Cross-multiplying, we have:

5x = 3 * 25

5x = 75

Dividing both sides by 5:

x = 75/5

x = 15

Therefore, there are 15 cats available for adoption.