A teacher is making back to school supply gifts for his students. He has 72 pencils and 96 erasers. If he is giving each student the same number of pencils and the same number of erasers, how many students are in his class? He will have no extra bags after he distributes them.(1 point)

There must be
students in his class.

2 answers

Let's find the common factors of 72 and 96.

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The common factors are: 1, 2, 3, 4, 6, 8, 12, 24

Since the teacher wants to distribute the pencils and erasers equally among the students, the number of students must be one of the common factors.

Therefore, there must be 24 students in his class.