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lara [203]
2 years ago
5

A teacher bought 32 notebooks, 72 pencils and 24 erasers to make identical packages with some notebooks, some pencils and some e

rasers for his students. He used everything he bought, and every student got a package. What is the largest number of students the teacher can have in his class? How many notebooks, pencils, erasers would be in each package?
Mathematics
2 answers:
Damm [24]2 years ago
7 0
I think that if they are all identical packages at most there are 8 class members. I am thinking that the answer is 8 because 8 is the greatest common factor between all three numbers(24,32,72).

Cannot go higher with out giving half a pencil to someone.Or 1/3 of a notebook.
But, all the numbers are divisible by 8. 

So, each of the 8 students would get in their package:
72/8= 9 pencils
32/8= 4 notebooks
24/8= 3 erasers

Final Answer: 8 people at most are in this class and each student receives an identical package containing 4 notebooks, 9pencils, and 3 erasers.

Hope this helped! Comment with any questions you still have on this!

lianna [129]2 years ago
7 0
Given that a<span> teacher bought 32 notebooks, 72 pencils and 24 erasers to make identical packages with some notebooks, some pencils and some erasers for his students.

</span>Given that h<span>e used everything he bought, and every student got a package the largest number of students the teacher can have in his class</span> represents the highest common factor of 32, 72 and 24.

32 = 2 x 2 x 2 x 2 x 2
72 = 2 x 2 x 2 x 3 x 3
24 = 2 x 2 x 2 x 3

HCF = 2 x 2 x 2 = 8

Therefore, the <span>largest number of students the teacher can have in his class is 8 students.

The number of notebooks in each package is given by 32 / 8 = 4 notebooks.
The number of pencils in each package is given by 72 / 8 = 9 pencils
The number of erasers in each package is given by 24 / 8 = 3 erasers
</span>
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