Question

The table shows the results of a biologist who captures and tags lake trout, and then sets them free. What is the trout population in the lake?

A.) About 90
B.) About 340
C.) About 130
D.) About 250

Answer 1

A.) About 90

Explanation:

From the given table, the biologist tagged 150 trout. Also, he recaptured a total of 100 trouts of which 60 were recaptured with tags.

Thus, let the trout population in the lake be represented by x,

`(60)/(100)` =
`(x)/(150)`

Cross multiply to have;

100 × x = 60 × 150

100x = 9000

Divide both sides by 100,

x =
`(9000)/(100)`

= 90

Therefore, the trout population is about 90 in the lake.