Students who attend Washington Middle School are either in seventh or eighth grade. At the end of the first semester
25% of the students at Washington Middle School were on the honor roll. Seventh graders represented 60% of the
students on the honor roll. If 124 students on the honor roll were in eighth grade, how many students attend
Washington Middle School?

There are 1240 students at Washington middle school.  

Step-by-step explanation:

Percentages and Portions

We can find portions of a whole by correctly managing the percentages of each part. We know 25% of all students at Washington middle school were on the honor roll. From that portion, 60% of the students are seventh graders. That means 40% of the 25% are eight graders, i.e. 40*25%=10% were from eight grade.

We have 10% of all students are 124, thus the number of students are 124/10%=1240

There are 1240 students at Washington middle school.  

Let's test the answer. 25% of 1240 students are on the honor roll, which is 310 students. 40% of 310 students are from 8th grade, 40%*310 = 124 as stated in the problem