562 students in high school, its divided into 4 grade levels.122 seniors. There are 16 more freshman than sophomores. There are 26 more juniors than seniors. How many students of each are there.

Answer 1

Freshmen + Sophomores + Juniors + Seniors = 562

Freshmen + Sophomores + Juniors + 122 = 562

Freshmen + Sophomores + Juniors = 440

Let x = the number of sophomores. There are 16 more freshman than sophomores, so there are x + 16 freshmen. There are 26 more Juniors than seniors, so there are 122 + 26 = 148 Juniors.

x + 16 + x + 148 = 440

Solve for x, the number of Sophomores. Freshmen are x + 16. We already figured out there are 148 Juniors and the problem tells you that there are 122 Seniors.