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
To create a tape diagram, we will represent each cat and dog using a square.
Since the ratio of cats to dogs is 3:5, we can represent this as:
C C C | D D D D D
Here, each "C" represents a cat and each "D" represents a dog.
If there are 25 dogs available for adoption, we can fill in the number of dogs:
C C C | D D D D D
Now, we can compare the number of dogs to the ratio.
Since 5 represents the total number of parts in the ratio (3 for cats and 5 for dogs), we can divide the total number of dogs by 5 to find the value of each part:
25 dogs / 5 = 5
Each part represents 5 dogs.
Now, we can multiply the value of each part by the number of parts for cats (3) to find the total number of cats:
5 dogs/part * 3 parts = 15 cats
Therefore, there are 15 cats available for adoption.
To find the number of cats available for adoption, we can start by using a tape diagram.
First, let's represent the ratio of cats to dogs as 3:5. We can draw a tape diagram with two sections, one for cats and one for dogs.
| | | | | |
Dogs| ____ | ____ | ____ | ____ | ____ |
Cats| ____ | ____ | ____ | | |
Next, we know that there are 25 dogs available for adoption. We can fill in the dog section of the diagram with 25 equal parts, each representing one dog.
| | | | | |
Dogs| ___ | ___ | ___ | ___ | ___ |
Cats| ____ | ____ | ____ | | |
Now, we need to find the number of cats. Since the ratio of cats to dogs is 3:5, we can divide the dog section into 5 equal parts and count how many parts represent 3 cats.
| | | | | |
Dogs| ___ | ___ | ___ | ___ | ___ |
Cats| ___ | ___ | ___ | | |
Each part represents 5 dogs/5 = 1 dog. So, for every 1 dog, we have 3/5 cats.
Since there are 25 dogs, we need to find how many groups of 5 dogs we have. 25 dogs / 5 dogs per group = 5 groups.
Now, multiply the number of groups (5) by the number of cats per group (3) to find the total number of cats.
5 groups * 3 cats per group = 15 cats
Therefore, there are 15 cats available for adoption.
To solve this problem, we can use a tape diagram to help organize our thinking.
First, let's represent the ratio of cats to dogs in the animal shelter. The ratio is given as 3:5, meaning for every 3 cats, there are 5 dogs.
Let's divide the tape diagram into two parts: one for cats and one for dogs. We'll label the cat section as "C" and the dog section as "D".
C C C │ D D D D D
Since the ratio is 3:5, we can see that for every 3 parts of cats, there are 5 parts of dogs.
Now, we know that we have 25 dogs available for adoption. So, we need to find out the number of cats.
To do this, let's focus on the dog section of the tape diagram. We can see that there are 5 parts for every 25 dogs. So, we can determine what one part represents:
5 parts = 25 dogs
1 part = 25 dogs ÷ 5 = 5 dogs
Now that we know one part represents 5 dogs, we can find the number of cats. Since there are 3 parts for cats, we can multiply the number of parts by the number of dogs in one part:
3 parts × 5 dogs = 15 cats
Therefore, there are 15 cats available for adoption.