SOLUTION: 200 bass are caught, tagged, and released in a lake. The mark-recover method is based on that T is directly proportional to n. 10 tagged are recovered from a sample of 300. Estim

Question 1114139: 200 bass are caught, tagged, and released in a lake. The mark-recover method is based on that T is directly proportional to n. 10 tagged are recovered from a sample of 300. Estimate the total number of bass in lake.
T = number of tagged.
n = a sample caught.
Not sure how to solve. Non-homework.

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!

After 200 bass are caught, tagged, and released, 300 bass are caught and 10 of them are tagged.
So approximately 1 out of every 30 bass (10 out of 300) in the lake are tagged.
Since 200 bass were tagged, a good estimate of the number of bass in the lake is 200*30 = 6000.

Formally, since the number tagged is (approximately) proportional to the number caught, a good estimate of the number x of bass in the lake is

Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.
It is a traditional problem on proportions.

See the lesson
    - Using proportions to estimate the number of fish in a lake
in this site.

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