The ratio of dogs to cats in a pet store is 4 : 34:3 . The ratio of cats to fish in the same pet store is 2 : 92:9. If there are 24 dogs in the pet store, how many fish are there?

In the pet store, there are 81 fish.

Step-by-step explanation:

We know that:

The ratio of dogs to cats is 4:3

(this means that for every 4 dogs, there are 3 cats)

The ratio of cats to fish is 2:9

(this means that for every 2 cats, there are 9 fish).

Now, we know that there are a total of 24 dogs in the pet store.

Remembering that for each 4 dogs we have 3 cats, we first need to see how many times we have 4 dogs in a total of 24 dogs, this is:

24/4 = 6

So we have 6 times 4 dogs, then we will have 6 times 3 cats, this is a total of:

6*3 cats = 18 cats.

And now we know that for every 2 cats we have 9 fish.

Then we need to see how many times we have 2 cats in a total of 18 cats, this is:

18/2 = 9.

And for each one of these 9 groups, we will have 9 fish, then the total number of fish is:

9*9 = 81 fish

In the pet store, there are 81 fish.