Problema Solution
Biologists tagged 65 fish in a lake on January 1, they returned and collected a random sample of 52 fish, 13 of which had been previously tagged. On the basis of this experiment, approximately how many fish does the lake have?
Answer provided by our tutors
Let 'x' represent the total number of fish in the lake (lake population).
The ratio of tagged fish (65) to total number of fish in the lake (x) is the same to the ratio for the tagged sample (13) to total sample taken to check (52):
(total tagged fish)/(lake population)=(tagged sample)/(total sample)
65/x = 13/52
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click here to see the equation solved for x
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x = 260 fish
The lake population counts 260 fish.