In 2005, there were 12,300 students at college a, with a projected enrollment increase of 500 students per year. in the same year there were 18,550 students at college b with a projected enrollment decline of 750 students per year. according to these projections, when will the colleges have the same enrollment? what will the enrollment in each college at that time?

5 years

              14,800 students enrolled

Step-by-step explanation:

Let x represent the number of years and

Let y represent the number of students enrolled

College A: y = 12,300 + 500x

College B: y = 18,550 - 750x

Use substitution Method to solve:

12,300 + 500x = 18,550 - 750x

            +750x                +750x

12,300 + 1250x = 18,550

-12,300               -12,300

              1250x = 6250

                      x = 5

Input x = 5 into one of the equations to solve for y.

y = 12,300 + 500x

  = 12,300 + 500(5)

  = 12,300 + 2500

  = 14,800

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x