in 2005 there were 14200 students at college A with a projec

in 2005, there were 14200 students at college A, with a projected enrolment increase of 800 students per year. in the same year, there were 27400 students at college b, with a projected enrollment decline of 400 students per year. According to these projectios, when will the colleges have the same enrollment? what will be the enrollment at at time?

Solution

A=14200+800t

B=27400-400t

For the same enrollment,

A=B

=> 14200+800t=27400-400t

=> 1200t=27400-14200=13200

=> t=13200/1200=11 year

No of student enrolled after 10 year= 27400-400*11=27400-4400=23000