Question

To determine the number of trout in a lake​, a conservationist catches 126 trout​, tags​ them, and releases them. Later 158 trout are​ caught, and it is found that 32 of them are tagged. Estimate how many there are in the lake.

Answer 1

Answer: There are an estimated of 622 trouts in the lake.

Explanation:

To solve this problem you must apply the proccedure shown below:

1. You know that:

- The conservationist catches 126 trout​.

- Then, 158 trout are​ caught, and 32 of them are tagged.

2. Therefore, you can write the following ratio, where x is the number of trout in the lake. Then, when you solve for x, you obtain the following result:

`(32)/(158)=(126)/(x)\\x=622.12`