How to write a systems of equations and solve?

Question

Central High School has 920 students and their enrollment is decreasing by 25 students each year. Wilson High school has 591 students and their enrollment is increasing by 22 students each year. How long will it tale for both schools to have the same amount of students?

thanks!

Answer 1

Mayuran accidentally added instead of subtracted when

moving the 591 to the other side of the equation.

 

Taking from:  920 - 25t = 591 + 22t

 

920 - 591 = 22t + 25t

329 = 47t

t = 329/47

t = 7 years

 

Your graph is correct Youssef
 

 

 

Answer 2

First let's start off by writing an equation for

C : 920 - 25t

 

Next let's write an equation for Wilson High school 

 

W : 591 + 22t

 

Finally we can equate both the equations to each other

 

920 - 25t = 591 + 22t

 

Now solve for t

 

47 t = 591 + 920

 

47t = 1441

 

t = 1441 / 47

 

It will take 31 years for both the schools to have the same amount of students.