Biologists want to know how many fish are in a certain lake. On January 1, they removed 600 fish from the lake and tagged them. On February 1, they returned to the lake and collected a random sample of 250 fish, of which 15 had been previously tagged. Approximately how many fish does the lake have, based on this experiment?

Question

Mathematics

Dakota Combs

4 November, 06:56

Biologists want to know how many fish are in a certain lake. On January 1, they removed 600 fish from the lake and tagged them. On February 1, they returned to the lake and collected a random sample of 250 fish, of which 15 had been previously tagged. Approximately how many fish does the lake have, based on this experiment?

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Answers (1)

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Hailie Klein · Answer 1

So we are assuming ratio and proporion

tagged:all=?:600

then we will assume a proportional sample

out of 250, 15 were tagged

so

250:15=?:600

250/15=?/600

50/3=?/600

times both sides by 600

30000/3=?

10000=?

10000 fish