How many years will it take the schools to have the same enrollment? (break even point)

Set up two equations:

Sunshine College has 1100 students and gains 45 per year:

This can be written as 1100 + 45x ( where x is the number of years.)

Marigold has 2000 students and loses 15 per year.

This is written as 2000 - 15x ( where x is the number of years.)

Now set the two equations to equal each other and solve for x:

1100 + 45x = 2000 - 15x

Subtract 1100 from each side:

45x = 900 - 15x

Add 15 x to each side:

60x = 900

Divide each side by 60:

x = 900 / 60

x = 15

It will take 15 years.

1/6

step-by-step explanation: