2021 AMC 10B Problem 3


In an after-school program for juniors and seniors, there is a debate team with an equal number of students from each class on the team. Among the 2828 students in the program, 25%25\% of the juniors and 10%10\% of the seniors are on the debate team. How many juniors are in the program?

(A) 5(B) 6(C) 8(D) 11(E) 20\textbf{(A)} ~5 \qquad\textbf{(B)} ~6 \qquad\textbf{(C)} ~8 \qquad\textbf{(D)} ~11 \qquad\textbf{(E)} ~20


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

Show/Hide Hints

Show/Hide Problem Tags

Problem Tags: Algebra

Want to contribute problems and receive full credit? Click here to add your problem!
Please report any issues to us in our Discord server
Go to previous contest problem (SHIFT + Left Arrow) Go to next contest problem (SHIFT + Right Arrow)
Category: AMC 10B
Points: 1
Back to practice