There are a total of 800 students in a high school. Twice the number of upperclassmen is 98 less than the number of underclassmen. How many upper and under classmen are in the high school?

Answer 1

Let x = number of upperclassman and y = number of underclassman

x + y = 800

Solve this equation for y: y = 800 - x

2x = y - 98

Substitute y = 800 - x:

2x = 800 - x - 98

3x = 702

x = 234

Therefore, x = 234 and y = 800-234 = 566