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) cats
Let's start by representing the number of cats and dogs available using a tape diagram.
We know that the ratio of cats to dogs available for adoption is 3:5. So, we can divide our tape diagram into 3 parts for cats and 5 parts for dogs.
Since we are given that there are 25 dogs available, we can fill in 5 parts of the tape diagram to represent the dogs.
Dogs: |---|---|---|---|---|
Now, we need to figure out how many parts represent one cat. This can be found by dividing the number of parts for dogs (5) by the ratio of cats to dogs (3:5).
So, 5 divided by 5 equals 1.
Now that we know one part represents one cat, we can fill in the tape diagram accordingly.
Dogs: |---|---|---|---|---|
Cats: |-|-|-|
Therefore, there are a total of 3 cats available for adoption.
To solve this problem, we'll create a tape diagram to represent the ratio of cats to dogs.
First, we'll represent the ratio of cats to dogs as 3:5.
Let's start by drawing a rectangle to represent the total number of animals available for adoption. We'll divide it into 8 equal parts since the ratio is 3:5, which means the total ratio is 8.
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Next, we'll divide the rectangle into three equal parts to represent the number of cats.
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Lastly, we'll divide the rectangle into five equal parts to represent the number of dogs.
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We are given that there are 25 dogs available for adoption, so we'll fill in the dog section with 25 parts.
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| | | | | 25 | | | | |
To find the number of cats available for adoption, we'll look at the cat section. Since the ratio of cats to dogs is 3:5, we can divide 25 by 5 to find the value of one part, and then multiply it by 3 to find the number of cats.
25 divided by 5 is 5, and 5 multiplied by 3 is 15.
Therefore, there are 15 cats available for adoption.
To find the number of cats available for adoption, we can first use the given ratio of cats to dogs, which is 3:5.
Let's represent the number of cats with 3 units and the number of dogs with 5 units. Since we are given that there are 25 dogs, we can set up the following proportions:
5 units (dogs) = 25 dogs
1 unit (dog) = 25 dogs รท 5 = 5 dogs
Since the ratio of cats to dogs is 3:5, we can find the number of cats by multiplying the number of units (dogs) by the ratio:
3 units (cats) = 3 * 5 units (dogs)
3 units (cats) = 3 * 5 dogs
Now we can calculate the number of cats:
3 units (cats) = 3 * 5 dogs
3 units (cats) = 15 dogs
Therefore, there are 15 cats available for adoption in the animal shelter.