Question

A small town has two local high schools. High School A currently has 1000 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 55 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.

Answer 1

The number of years t, the number of students in both high schools would be the same is 15 years

Equation

let

• Number of years both high schools would be the same = t

School A:

1000 + 35t

School B:

700 + 55t

• Equate both schools

1000 + 35t = 700 + 55t

1000 - 700 = 55t - 35t

300 = 20t

t = 300/20

t = 15 years

Therefore, the number of years t, the number of students in both high schools would be the same is 15 years

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