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Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need?

Respuesta :

mathstudent55
You need to find the greatest common factor of 30 and 48.

First find the prime factorizations of 30 and 48.

30/2 = 15
15/3 = 5
5/5 = 1

48/2 = 24
24/2 = 12
12/2 = 6
6/2 = 3
3/3 = 1

The prime factorizations are:
30 = 2 * 3 * 5
48 = 2^4 * 3

To find the GCF, you need the product of the common factors with the lower exponent.

Both 30 and 48 have 2 as a factor. 30 has 2 and 48 has 2^4. Pick the one with the lower exponent: 2.

Both 30 and 48 have 3 as a common factor. Pick 3.

GCF = 2 * 3 = 6

She needs 6 containers.
Cricetus

She needs a "6" number of containers. A complete solution to the question is provided below.

According to the question,

The total number of Oatmeal cookies are:

= 30

The total number of Chocolate chip cookies are:

= 48

Throughout the order to be able to maintain a consistent container-divided highest limit of cookies of the same kind, this same total average amount of cookies that must be container-divided must first be calculated.

Now,

As per the given values, The GCF (30, 48) will be:

= 6

Learn more:

https://brainly.com/question/2791161

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