SOLUTION: At the north campus of a performing arts school, 50% of the student are music majors. At the south campus, 60% of the students are music majors. The campuses are merged into one ea

Question 274418: At the north campus of a performing arts school, 50% of the student are music majors. At the south campus, 60% of the students are music majors. The campuses are merged into one east campus. If 55% of the 100 student at the east campus are music majors, how many students did each of the north and south campuses have before the merger?
Please help by showing me the formula! Thanks a bunch!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of students at N Campus before merger
Let = the number of students at S Campus before merger
given:
(1)

(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

And, from (1),
(1)

The N campus had 50 students and the S campus also had 50 students
check answer:

OK

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