Question

Louis has 45 pencils and 75 pens to divide into gift bags at the fair he does not want to mix the pens and pencils he wants to place an equal amount in each bag what is the greatest place in each bag

Answer 1

You can out 15 pencils in each bag because.
15+15+15=45
15+15+15+15+15=75

Answer 2

Using the greatest common multiple principle, the greatest Number of pens and pencils that can be placed in the bag is 15

We need to obtain the greatest common factors for the number of pencils and pen :

Factors of :

45 = 1, 3, 5, 9, 15, 45

75 = 1, 3, 5, 15, 25, 75

The greatest common multiple of 75 and 45 is 15. Hence, the greatest number of pens and pencil that can be placed in the bag is 15.

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