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?
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!
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>
