SOLUTION: In a certain college, 40% of the senior class students is taking Physics, 30% is taking calculus and 10% is taking both. If 40 students are enrolled in the senior class, how many s

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Question 389190: In a certain college, 40% of the senior class students is taking Physics, 30% is taking calculus and 10% is taking both. If 40 students are enrolled in the senior class, how many students are taking neither Physics nor calculus?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I want to count the 10% that take both courses only once,
so I will include them in the 40% that take Physics,
but not in the 30% that take calculus.
Therefore I have counted 40% + (30% - 10%) = 60%
of the students.
The problem tells me that
60% of 40 students are enrolled in these 2 courses.
.6%2A40+=+24
Therefore 40+-+24+=+16
16 students are enrolled in neither of these courses