Question

At the north campus of a performing arts school, 40% of the students are music majors. At the south campus, 10% of the students are music majors. The campuses are merged into one east campus. If

22% of the 1000 students at the east campus are music majors, how many students did each of the north and south campuses have before the merger?

Answer 1

This is a math problem that can be solved by using a system of linear equations. Let x be the number of students from the north campus and y be the number of students from the south campus. Then we have:

0.4x + 0.1y = 0.22 x 1000
x + y = 1000

Solving this system, we get:

x = 400
y = 600

Therefore, the north campus had 400 students and the south campus had 600 students before the merger.