I think I found a mistake:
In a graduating class of 236 students, 142 took algebra and 121 took chemistry. Whats the greatest possible number of students that could have taken both algebra and chemistry?
If we'd solve it with the Venn diagram, i think the least possible number would be 27.
In the explanation it says, that the answer is 121, since every student in chemistry class could also take algebra. But then the total number of students wouldn't be 236 but 142...
Am I wrong?