SOLUTION: The north campus of a school has 20% music majors. The south campus has 90% music majors. The campuses are merged into one east campus. The east campus has 1000 students and 48%

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Question 831403: The north campus of a school has 20% music majors. The south campus has 90% music majors. The campuses are merged into one east campus. The east campus has 1000 students and 48% of those are music majors. How many students did the north campus and south campus each have before the merger?
Answer by stanbon(75887) About Me  (Show Source):
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The north campus of a school has 20% music majors. The south campus has 90% music majors. The campuses are merged into one east campus. The east campus has 1000 students and 48% of those are music majors. How many students did the north campus and south campus each have before the merger?
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Equations:
n + s = 1000 students
0.20n + 0.90s = 0.48*1000 music majors
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Modify:
20n + 20s = 20000
20n + 90s = 48000
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Subtract and solve for "s";
70s = 28000
s = 400 (# of music majors in south)
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n = 1000-400 = 600 (# of music majors in north)
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Cheers,
Stan H.
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