To estimate the number of bass in a lake, a biologist catches and tags 32 bass. several weeks later, the biologist catches a new sample of 55 bass and finds that 5 are tagged. how many bass are in the lake?

So, since the initial 32 are in the lake tagged and he captures 55, in which 5 are a part of the other 32, we can assume that there are 50 new bass and that added to the 32 is 82, so there are 82 tagged bass in the lake.