Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He h

Question

3 months ago

9

Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He h

as 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 ls will be in each package?

Mathematics

2 answers:

Svet_ta [12.7K] · Answer 1 · 2026-03-04T22:01:01+03:00

To find the maximum number of identical packs we see we have 72 pencils and 24 calculators.

This involves discovering the largest number that divides both 72 and 24 evenly,
which is known as the GCM or greatest common multiplier.

To determine the GCM, factor 72 into primes and group them:
72=2 times 2 times 2 times 3 times 3
24=2 times 2 times 2 times 3
Thus, the common grouping is 2 times 2 times 2 times 3, equating to 24.
Therefore, the maximum number of packs is 24.

For pencils:
72 divided by 24=3
Resulting in 3 pencils per pack.

For calculators:
24 divided by 24=1
So, 1 calculator per pack.

The outcome is 3 pencils and 1 calculator in each pack.

Inessa [12.5K] · Answer 2 · 2026-03-04T21:59:56+03:00

Inessa [12.5K]3 months ago

3 0

3 pencils per box.

The GCF of 72 and 24 is 24. 72 divided by 24 equals 3, and 24 divided by 24 gives 1.

Consequently, there are 3 pencils and 1 calculator per box. In summary, there are 3 pencils for each box.