100 students are majoring in math, business, or both. 72% of the students are business majors, and 5

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12 Mar 2021 Majority

100 students are majoring in math, business, or both. 72% of the students are business majors, and 58% are math majors. How many students are majoring in both?

OPtion

1) 28%
2) 42%
3) 70%
4) 40%
5) 35%
6) 30%
7) 28%
8) 32%
9) 46%
10) None of the above

Solution

If 72% are business majors, then 28% are not.
If 58% are math majors, then 42% are not.
So, 28+42 = 70% of the students, are not majoring in both.
So, 100 – 70 = 30% students are majoring in both.

Correct Option: 6 Best Solution (2)