Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.
He has 72pencils 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?

Respuesta :

3 pencils in each package, because he has 24 calculators and will match that with 72pencils divided by 24 packages 72/3=24

Answer:

If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package? The answer is 3 pencils will be included in each package, and 1 calculator.

Step-by-step explanation:

There are 72 pencils, and 24 calculators.

This means that the biggest number we can divide both 72 and 24 by and get a whole number as a result, is called the GCM

Definitions:

  • GCF - Greatest Common Factor - A set of number that has the largest factor that they ALL share.
  • LCM - Least Common Multiple - This is the number you get when you multiply a number by a whole number.
  • GCM - Greatest Common Multiple - Means the statstics greatest common measure

To find the GCM, you have to factor 72 into groups.

72 = 2 x 2 x 2 x 3 x 3

24 = 2 x 2 x 3

So the common group is 2 x 2 x 2 x 3 of 24

The greatest number of packs is 24

72 divided by 24 will get you three

3 pencils per pack

24 divided by 24 will get you 1

1 calculator per pack

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