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
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.
To find out how many cats are available for adoption, we need to use the given ratio between cats and dogs and the information provided about the number of dogs available.
The given ratio is 3:5, which means for every 3 cats, there are 5 dogs available for adoption. We also know that there are 25 dogs available for adoption.
To find the number of cats, we can set up a proportion using the ratio:
3 cats / 5 dogs = X cats / 25 dogs
We can cross-multiply and solve for X:
3 * 25 = 5 * X
75 = 5X
Dividing both sides by 5:
75 / 5 = X
15 = X
So, there are 15 cats available for adoption in the animal shelter.
To solve this problem, we can use a tape diagram to represent the ratio of cats to dogs.
First, let's set up the tape diagram. We will use rectangles to represent the cats and the dogs.
Since the ratio of cats to dogs is 3:5, we can divide the tape into 8 equal parts.
Each part represents one animal.
Let's represent the dogs with 5 rectangles.
[] [] [] [] []
Now, we know that there are 25 dogs available for adoption. We can fill in the rectangles to represent the dogs.
[=|=|=|=|=]
Next, we can determine the number of cats.
Since the ratio of cats to dogs is 3:5, we can find the number of cats by dividing the number of dogs by the ratio.
25 dogs ÷ 5 = 5 cats
So, there are 5 cats available for adoption.
To summarize:
- There are 25 dogs available for adoption.
- There are 5 cats available for adoption.