In 2005, there were 18,400 students at college A, with a projected enrollment increase of 500 students per year In the same year, there were 37,650 students at college B, with a projected enrollment dec line of 1250 students per year According to these projections, when will the colleges have the same enrollment? What will be the enrolliment in each college at that time? In the yearthe enrolment at both colleges will be the same The total enrolment at each college will bestudents

Question

Mathematics

Isabell

27 October, 02:07

In 2005, there were 18,400 students at college A, with a projected enrollment increase of 500 students per year In the same year, there were 37,650 students at college B, with a projected enrollment dec line of 1250 students per year According to these projections, when will the colleges have the same enrollment? What will be the enrolliment in each college at that time? In the yearthe enrolment at both colleges will be the same The total enrolment at each college will bestudents

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Gaige · Answer 1

all parts has been answered

Step-by-step explanation:

Let us assume

after T years both colleges have same enrollment

Enrollment at college A after T years = 18400+500*T

Enrollment at college B after T years = 37650-1250*T

Both the colleges will have same enrollment after T years

Hence

18400+500*T=37650-1250*T

1750*T=19250

T=11 years

Present year would be = 2005+11=2016

In the year 2016, the enrollment of both the colleges will be same.

Total enrollment at each college = 18400+11*500=37650-1250*11=23900

The total enrollment at each college will be 23900 students