Question

A teacher is making back to school supply gifts for his students. He had 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.

There must be blank students in his class

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the number of students in the class, we need to determine the greatest common divisor (GCD) of 72 and 96.

The prime factorization of 72 is 2^3 * 3^2.
The prime factorization of 96 is 2^5 * 3^1.

To find the GCD, we take the highest power of each common prime factor. Therefore, the GCD of 72 and 96 is 2^3 * 3^1 = 8 * 3 = 24.

Therefore, there are 24 students in the teacher's class.