SOLUTION: On January 1, A group of scientist tagged 500 fish and returned them back to the lake. The group returned on February 1, and retrieved 400 fish. Of those 400, 8 of which were alre
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Question 31223: On January 1, A group of scientist tagged 500 fish and returned them back to the lake. The group returned on February 1, and retrieved 400 fish. Of those 400, 8 of which were already tagged. How many fish are in the lake? Answer by mbarugel(146) (Show Source):
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When they returned on Fenruary 1, they found that 8 out of 400 fish were tagged. Therefore, a good estimate would be to say that, in the lake, 8 out of every 400 fish are tagged. Or equivalently () 2% of all the fish in the lake are tagged.
We know that 2% of all the fish in the lake are tagged. We also know that 500 fish are tagged. So we conclude that 500 is 2% of the total number of fish in the lake. So, calling X to the total number of fish, we have the equation:
Solving for X:
Hence there are 25,000 fish in the lake.
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