SUPPOSE THAT N STUDENTS ARE TAKING BOTH A MATHEMATICS COURSE AND A COMPUTER SCIENCE COURSETHEN 4N STUDENTS ARE TAKING A MATHEMATICS COURSE, BUT NOT A COMPUTER SCIENCE COURSE, AND 7NSTUDENTS ARE TAKING A COMPUTER SCIENCE COURSE, BUT NOT A MATHEMATICS COUR...

56. Suppose that n students are taking both a mathematics course and a computer science course

Then 4n students are taking a mathematics course, but not a computer science course, and 7n

students are taking a computer science course, but not a mathematics course. The following

Venn diagram depicts the situation:

'$Math CompSci4n n 7n&%

Thus, the total number of students is

4n + n + 7n = 12n.

The proportion taking a mathematics course is

5n

12n = 5