Solve the problem.
-There are 22 more sophomores than juniors in an 8 AM algebra class. If there are 60 students in this class, find the number of sophomores and the number of juniors in the class.
A)19 sophomores; 41 juniors
B)82 sophomores; 38 juniors
C)41 sophomores; 19 juniors
D)60 sophomores; 38 juniors

Question

Quizplus · Accepted Answer

Let x be the number of juniors in the class. Then the number of sophomores in the class is x + 22. We know that the total number of students is 60, so x + (x + 22) = 60. Simplifying this equation, we get 2x + 22 = 60, which means 2x = 38 and x = 19. Therefore, there are 19 juniors and 19 + 22 = 41 sophomores in the class. Hence, option C is correct.

Solve the Problem. -There Are 22 More Sophomores Than Juniors in an 8