Three hundred fish are tagged and released into a pond. A month later 100 fish are caught and then released back into the same pond. Of those 100 fish caught only 15 had tags. How many fish are in the pond? Is the answer 2000 fish?

Assuming the 300 fish mix in randomly in the fish population, then the later catch would indicate that 15% of the fish were tagged.

So, .15n=300
n = 2000

you are correct.

To determine the total number of fish in the pond, we need to make certain calculations based on the information provided.

Let's break it down step-by-step:

1. Initially, 300 fish were tagged and released into the pond.
2. A month later, 100 fish were caught and then released back into the pond, of which only 15 had tags.

Now, let's reason through this:

We know that the 100 fish caught represent the tagged fish as well as untagged fish. Since we know that 15 of them had tags, we can calculate the ratio of tagged fish to the total captured fish.

Tagged Fish / Total Captured Fish = 15 / 100

To find the total number of fish in the pond, we can use the ratio we just calculated. Since we tagged 300 fish initially, we can set up the following proportion:

Tagged Fish / Total Fish = 15 / 100

300 / Total Fish = 15 / 100

Now, we can solve for the total number of fish in the pond:

Cross-multiplying, we get:

15 * Total Fish = 300 * 100

Total Fish = (300 * 100) / 15

Calculating this, we find that the total number of fish in the pond is 2000.

So, your answer of 2000 fish is indeed correct!