At a certain university, 5% and 17% of total students are mathematics majors (M) and business majors (B), respectively. If 3% of the total students are majoring in both mathematics and business, what percent of total students will be represented by the shaded region of the following Venn diagram?
A)1%
B)2%
C)3%
D)5%

Question

At a certain university, 5% and 17% of total students are mathematics majors (M) and business majors (B), respectively. If 3% of the total students are majoring in both mathematics and business, what percent of total students will be represented by the shaded region of the following Venn diagram? 
A)1% 
B)2% 
C)3% 
D)5%

Quizplus · Accepted Answer

To find the percent represented by the shaded region, we need to subtract the percent of students who are only mathematics majors (5% - 3% = 2%) and the percent of students who are only business majors (17% - 3% = 14%), and then add the percent who are both (3%). 
2% + 14% + 3% = 19%, so the shaded region represents 19% of total students. However, we are only interested in the percent of total students represented by the shaded region, so the answer is 2%.

At a Certain University, 5% and 17% of Total Students