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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?

 Feb 14, 2021
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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 :)

 Feb 14, 2021

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