The schedule of G first year students was inspected. It was found that M were taking a Mathematics course, L were taking a Language course and B were taking both a Mathematics course and a Language course. Which of the following expression gives the percentage of the students whose schedule was inspected who were taking neither a mathematics course nor a language course? Choose one:  A) 100 x G/B+L+M)  B) 100 x (B+L+M)/G  C) 100 x (G-L-M)/G  D) 100 x (G-B-L-M)/G  E) 100 x (G+B-L-M)/G
Explanatory Answer   M students are taking a math course.   L students are taking a language course.   B students are taking both a math and a language course.   Number of students taking at least one of the two courses = M U L   M U L = M + L - B   Hence, number of students taking neither of the two courses = G - (M + L - B) = G + B - M - L   100 x (G+B-L-M)/Gxpressed as a percent of the total number of students, we get 100 x (G+B-L-M)/G   Answer 100 x (G+B-L-M)/G
<result>E</result>
The schedule of G first year students was inspected. It was found that M were taking a Mathematics course, L were taking a Language course and B were taking both a Mathematics course and a Language course. Which of the following expression gives the percentage of the students whose schedule was inspected who were taking neither a mathematics course nor a language course?