At a certain school, 100 students are in the marching band. If 40% of

Tough and Tricky questions: Overlapping Sets.

At a certain school, 100 students are in the marching band. If 40% of the students in the orchestra are also in the marching band, how many students are members of neither the orchestra nor the marching band?

(1) There are 1000 students in the school.

(2) 50 students are in the orchestra.

Kudos for a correct solution.