Answer: In the pet store, there are 81 fish.
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.