Let x be the number of years from 2020.
For college A: Number of students = 18,500 + 1,250x
For college B: Number of students = 37,750 - 500x
Setting them equal to each other:
18,500 + 1,250x = 37,750 - 500x
1,750x = 19,250
x = 11
Therefore, in 11 years from 2020, the colleges will have the same enrollment.
Substitute x = 11 into the equations:
For college A: 18,500 + 1,250(11) = 32,000 students
For college B: 37,750 - 500(11) = 32,250 students
So, in 11 years from 2020, both colleges will have an enrollment of 32,000 students.
In 2020, there were 18,500 students at college A, with a projected enrollment increase of 1250 students per year. In the same year, there were 37,750 students at college B, with a projected enrollment decline of 500 students per year. According to these projections, when will the colleges have the same enrollment? What will be the enrollment in each college at that time?
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