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)%0D%0A cats

1 answer

To solve this problem using a tape diagram, we can represent the ratio of cats to dogs as three boxes representing cats and five boxes representing dogs.

Since we are given that there are 25 dogs available for adoption, we can draw five boxes for dogs and label it as 25.

Cats: [ ] [ ] [ ]
Dogs: [ ] [ ] [ ] [ ] [25]

Next, we need to determine how many boxes represent each cat. To do this, we need to divide the number of dogs (25) by 5 (the number of boxes representing dogs) to find the value of each box.

25 dogs ÷ 5 boxes = 5 dogs per box

Therefore, each box represents 5 dogs.

Cats: [ ] [ ] [ ]
Dogs: [ ] [ ] [ ] [ ] [25]

Now, we can determine the number of cats by multiplying the number of boxes representing cats (3) by the value of each box (5 dogs per box).

3 cats × 5 dogs per cat = 15 cats

Thus, there are 15 cats available for adoption.