Math  /  Algebra

QuestionAt the north campus of a performing arts school, 20%20 \% of the students are music majors. At the south campus, 30%30 \% of the students are music majors. The campuses are merged into one east campus. If 24%24 \% 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?
The north campus had 600 students. The south campus had \square students.

Studdy Solution
Solve the equation to find the number of students at the south campus.
Subtract 120 from both sides:
0.30s=240120 0.30s = 240 - 120 0.30s=120 0.30s = 120
Divide both sides by 0.30:
s=1200.30 s = \frac{120}{0.30} s=400 s = 400
The south campus had 400 \boxed{400} students.

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