14100 increasing by 1500/yr, 41700 decreasing by 800/yr

[Bubbles28]

In 2007, there were 14,100 students at college A, with a projected enrollment increase of 1500 students per year. In the same year, there were 41,700 students at college B, with a projected enrollment decline of 800 students per year. In which year will the colleges have the same enrollment? What will be the enrollment in each college at that time?

 

[galactus]

Re: Algebra word problems

Let x=number of years.

There are 14,100 at A initially. But there are 1500 added each year thereafter.

14100+1500x

College B: 41700-800x

Equate them and solve for x