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.

3 answers

To find out how many students are in the class, we need to find the greatest common divisor (GCD) of 72 and 96.

First, we can simplify both numbers by dividing both by 4:
72 ÷ 4 = 18
96 ÷ 4 = 24

Now, we can find the GCD of 18 and 24:
18 = 2 × 3 × 3
24 = 2 × 2 × 2 × 3

The GCD of 18 and 24 is 2 × 3 = 6.

Therefore, there are 6 students in the teacher's class.
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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.