Question

Harper middle school has 125 fewer students than holmes junior high. When the two schools are merged there are 809 students. How many students attend each school?

Answer 1

Holmes junior high school 467 students

Harper middle school has 342 students

Explanation:

Let,

Holmes junior high school X students

since, Harper middle school has 125 fewer students than Holmes junior,

Therefore, Harper middle school has (X - 125) students

According to the Question,

X + (X - 125) = 809

or, 2X - 125 = 809

or, 2X = 809 + 125

or, 2X = 934

or, X = 934/2

Therefore, X = 467

So, Holmes junior high school 467 students, and

Harper middle school has (467 - 125) = 342 students.