Final answer:
To find the number of cats corresponding to 28 dogs with a ratio of 4:7, a proportion is set up and solved, revealing that there are 49 cats in the pet store.
Step-by-step explanation:
The student's question asks about the ratio of dogs to cats in a pet store, specifically if there are 28 dogs in a pet store and the ratio of dogs to cats is 4:7, how many cats are there.
To find the answer, you can set up a proportion based on the given ratio. The ratio is 4 dogs to 7 cats, and we know there are 28 dogs, so we want to find how many cats correspond to those 28 dogs. We can set up the proportion as follows:
- 4 dogs / 7 cats = 28 dogs / x cats
By cross-multiplying, we get:
4x = 28 * 7
Then, solve for x:
x = (28 * 7) / 4
x = 196 / 4
x = 49
Therefore, there are 49 cats in the pet store.