Gabi is working on a certain number of science problems and humanities problems for homework. It takes her three minutes to finish one science problem, and five minutes to finish one humanities problem. Gabi solved 20 problems altogether, and spent a total of 165 minutes. How many science problems did she have, and how many humanities problems did she have?
The present question has no logic. Even if all the 20 problems were from humanities, which is the kind of problem that takes the most time, the total time would be 100 minutes, far less than the given time.
