Answer:
The north campus had 600 students (180 music majors)
The south campus had 400 students (280 music majors)
Step-by-step explanation:
x = number of students at the north campus before the merger
If the total of students for the two school is given as 1000, so:
(1000 - x) = number of students at the south campus before the merger.
The equation for music major is:
0,3x + 0,7(1000-x) = 0,46(1000)
0,3x + 700 - 0,7x = 460
0,3x - 0,7x = 460 - 700
- 0,4x = -240
x = -240/-0,4
x = 600 -----> total number of students at the north campus
600*(0,3) = 180 music majors at the north
100 - 600 = 400 ------> total number of students at the south campus
400*(0,7) = 280------>music majors at the south
