contestada

At the north campus of a performing arts school, 10% of the
students are music majors. At the south campus, 90% of the
students are music majors. The campuses are merged into one
east campus. If 42% of the 1000 students at the east campus
are music majors, how many students did the north and south
campuses have before the merger?

Respuesta :

There were 600 students at the north campus and 400 students at the south campus.

Calculus

To determine, if 42% of the 1000 students at the east campus are music majors, how many students did the north and south campuses have before the merger, the following calculation must be performed:

  • 0.10X + 0.90Y = 420
  • 1000 x 0.42 = 420
  • 500 x 0.10 + 500 x 0.90 = 50 + 450 = 500
  • 600 x 0.10 + 400 x 0.90 = 60 + 360 = 420

Therefore, there were 600 students at the north campus and 400 students at the south campus.

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