A class of 50 students has to perform exercises in groups of 2 OR 3 students. The numberof groups with 2 students is the same as the number of groups with 3 students.

Question

A class of 50 students has to perform exercises in groups of 2 OR 3 students. The numberof groups  with 2 students is the same as the number of groups with 3 students.

a) How many groups of 2 students and 3 students can be formed?

b) Each group must use 2 balls to perform its exercise.

What is the total number of balls needed.

Steve · Accepted Answer

a group of 2 and a group of 3 takes 5 students. Clearly, 10 such pairs of groups can be formed.