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At the north campus of a performing arts school, 30% of the students are music majors. At the south campus, 80% of the students are music majors. The campuses are merged into one east
campus. If 65% 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?

Respuesta :

The number of students that did major in the north is 300 and the number of student that do major in the south is 700.

How to use percentage to find number of student that majors in music?

At the north campus of a performing arts school, 30% of the students are music majors.

At the south campus, 80% of the students are music majors.

let

x = number of student at the north campus before the merger

Therefore,

1000 - x = number of students at the south campus before the merger

Hence, the equation for the music majors in the merger is as follows:

0.3x + 0.8(1000 - x) = 0.65(1000)

0.3x + 800 - 0.8x = 650

-0.5x = 650 - 800

-0.5x = -150

divide both sides by -0.5

x = -150 / -0.5

x = 300

Therefore, the number of students that did major in the north is 300 and the number of student that do major in the south is 700.

learn more on percentage here: https://brainly.com/question/13444160

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