Question

There are 50 fish in the pond that have tags. You catch 25 fish, and 5 of them have tags. What is the best estimate of the number of fish in the pond?

Answer 1

200

Explanation:

We know that the number of fishes with tags in the pond is 50, so we can assume the total number of fishes in the pond to be x.

25 fishes were caught put of which only 5 had tags, so the ratio of fishes with tags in the pond will be
`(5)/(25) = (1)/(5)`

Since we know the ratio of fishes with tags in the pond, we can find the total number of fishes.

`(1)/(5) * x = 50`

`x = 50 * 5`

`x = 200`

Therefore, the best estimated number of fish in the pond is 200.

Answer 2

If you catch 25 fish and 5 of them have tags, then
`(5)/(25)=(1)/(5)` of all fish have tags.

Now you know that 50 fish in the pond have tags, then these 50 fish form
`(1)/(5)` of all fish in the pond. The number of fish in the pond is

`50\cdot 5=250.`

Answer: 250 fish