Question

Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.
He has 72 pencils and 24 calculators and he must use all of the pencils and calculators.
If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?

Answer 1

Answer:

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So 72 pencils and 24 calculators

so greates number of identical calculators

this means

what is the biggest number that we can divide 72 and 24 by and get a whole number

this is called the GCM or greatest common multipule

to find the GCM, you factor 72 and group the like ones

72=2 times 2 times 2 times 3 times 3

24=2 times 2 times 2 times 3

so the common group is 2 times 2 times 2 times 3 or 24

so the greates number of packs is 24

so pencils

72 divided by 24=72/24=3

3 pencils per pack

24 divided by 24=24/24=1

1 calulator per pack

answer is 3 pencils and 1 calculator per pack