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)
Let's represent the number of cats and dogs available for adoption using a tape diagram.
We can start by drawing three sections to represent the cats (since the ratio is 3:5) and five sections to represent the dogs.
Cats: |||
Dogs: |||||
We know that there are 25 dogs available for adoption, so we can fill in five sections for the dogs.
Cats: |||
Dogs: |||||
We can see that there are three empty sections for the cats, so there are 3 cats available for adoption.
wrong
Apologies for the confusion. Let's reanalyze the problem and use a tape diagram to solve it correctly.
We are given that the ratio of cats to dogs available for adoption is 3:5. This means that for every 3 cats available, there are 5 dogs available.
Let's represent the cats and dogs using tape diagram boxes.
Cats: |||
Dogs: |||||
We are also given that there are 25 dogs available for adoption. We can fill in the tape diagram for the dogs.
Cats: |||
Dogs: |||||
Since the ratio of cats to dogs is 3:5, we can determine the number of cats by dividing the total number of dogs by the ratio's denominator (5) and then multiplying by the ratio's numerator (3).
Number of cats = (Number of dogs / Ratio denominator) * Ratio numerator
Number of cats = (25 / 5) * 3
Number of cats = 5 * 3
Number of cats = 15
Therefore, there are 15 cats available for adoption.
To solve this problem, we can use a tape diagram to represent the ratio of cats to dogs available for adoption.
Let's start by representing the number of dogs available for adoption. We are given that there are 25 dogs. So, we can draw a tape diagram with a box representing the total number of dogs and divide it into 5 equal parts, since our ratio is 3:5.
25 dogs
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| | | | | |
Now, we need to find the number of cats. We can see that for every 5 parts (representing dogs), there are 3 parts (representing cats). So, if we divide the total number of dogs (25) into 5 equal parts, we can find the number of cats by multiplying by 3.
25 dogs
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| | | | | |
Each part represents 5 dogs, so each part represents 3 cats.
25 dogs
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| | | | | |
| C | C | C | | |
Since there are 3 parts representing cats, we can see that there are 3 cats available for adoption.
Therefore, there are 3 cats available for adoption at the animal shelter.
To solve this problem, we need to find the number of cats available for adoption. Let's represent the number of cats and dogs using a tape diagram.
First, we know that the ratio of cats to dogs is 3:5. This means that for every 3 cats, there are 5 dogs. We can represent this ratio using a tape diagram like this:
C C C | C C C | C C C C C
D D D D D | D D D D D
In this representation, the "C" stands for cats and the "D" stands for dogs. Each section of the tape diagram represents the same number of animals, with each cat or dog occupying one unit of space.
We are given that there are 25 dogs available for adoption. So, we can use this information to find out how many units of dogs are represented in the tape diagram. Since each section represents the same number of animals, we can divide the total number of dogs by the number of sections, which is 5:
25 dogs / 5 sections = 5 dogs per section
Now, we can fill in the tape diagram with the correct number of dogs:
C C C | C C C | C C C C C
D D D D D | D D D D D D D D D D
Next, we can reason that since there are 5 dogs per section, there must be 5 cats per section as well. Therefore, the total number of cats is:
5 dogs per section * 3 sections = 15 cats
So, there are 15 cats available for adoption.