Question

John is packing cookies for Key club's bake sale. He has 48 chocolate chips cookies and 56 peanut butter cookies. What is the maximum number of bags he can make?

Answer 1

The maximum number of bags is an illustration of the greatest common factor

The maximum number of bags John can make is 8

The given parameters are:

$Chocolate=48$

$Peanut=56$

Start by expressing 48 and 56 as a product of their factors.

$Chocolate = 1 \times 2 \times 2 \times 2 \times 2 \times 3$

$Peanut = 1 \times 2 \times 2 \times 2 \times 7$

The product of the common factors between the above products is:

$Factors = 1 \times 2 \times 2 \times 2$

Multiply

$Factors = 8$

The above represents the greatest common factor of 48 and 56.

Hence, the maximum number of bags John can make is 8

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