Question

There are 20 fish in the pond that have tags. You catch 10 fish, and 4 of them have tags. Which proportion provides the best prediction for the total number of fish in the pond? Let x represent the total number of fish in the pond.

Answer 1

10 to 4 | 20 to 8 those are the proportions

Answer 2

`(4)/(10)=(20)/(x)`

Explanation:

Here, x represents the total number of fish in the pond,

Given,

The number of fish that are tagged = 20,

So, the ratio of the tagged fish and total fish in pound =
`(20)/(x)`

If after caching 10 fish, and 4 of them have tags.

Thus, the ratio of of tagged fish and total fish in catching =
`(4)/(10)`

Since, the ratio of of tagged fish and total fish in catching must be same as the ratio of the tagged fish and total fish in pound

`\implies (4)/(10)=(20)/(x)`

Which is the required proportion that provides the best prediction for the total number of fish in the pond.