In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
A. 400
B. 625
C. 1250
D. 2500
E. 10000
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Getting 2 tagged fishes in the second (suposedly random) catch, means that the 50 tagged fishes (if the tags did not end-up killing some of the fishes :-) ) represent 2 over 50 of the total F, or 1/25 or... 4/100 (4%). If 50 are 4% of F, then we get F = 50/4% = 50/(4/100) = (50x100)/4 = 5000/4. That is 2500/2, or 1250, as states option (C).
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