At the north campus of a performing arts school, 20% of the students are music majors. At the south campus, 70% of the students are music majors. The campuses are merged into one east campus. If 30% of the 1000 students at the east campus are music majors, how many students did the north and south campuses have before the merger?
+592 30% of 1000 = 300 students.
0.2x + 0.7(1000 - x) = 0.3 * 1000
0.2x + 700 - 0.7x = 300
0.5x = 400
x = 800
1000 - x = 200
There were 800 students in the north campus and 200 students in the south campus :)
