Suppose the university bursar said that 600 students entered for business mathematics, 300 entered for statistics while 173 students entered for both business mathematics and statistics. how many students enrolled in the two courses altogether?

Consider the Venn diagram shown in the picture.

173 is the number of students enrolled in both Business Maths and Statistics.

Let a be the number of students enrolled ONLY in Business Maths, and b be the number of students enrolled in ONLY statistics.

Since the number of Business Mathematics students is 600:

a+173=600
a=600-173=427

Since the number of Statistics students is 300:

b+173=300
b=300-173=127

The total number of students is a+b+173=427+127+173=727

727

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