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

Answer:

$\frac{4}{10}=\frac{20}{x}$

Step-by-step 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 = $\frac{20}{x}$

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

Thus, the ratio of of tagged fish and total fish in catching = $\frac{4}{10}$

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

$\implies \frac{4}{10}=\frac{20}{x}$

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