Question

Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 chocolate chip cookies and 42 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?

Answer 1

Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.

86 / 2 = 43 chocolate chips cookies
42 / 1 = 42 sugar cookies

With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.

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Answer 2

Answer: 2

Step-by-step explanation:

Given : The number of  chocolate chip cookies Shaquira has = 86

The number of sugar cookies Shaquira has = 42

To find the greatest number of identical packages that Shaquira can make, we need to find the greatest common factor (GCF) of 86 and 42 .

The Prime-factorization of 86 and 42 is given by :_

$86=2\times43\\\\42=2\times3\times7$

We can see that the  greatest common factor (GCF of 86 and 42 =2

Thus,  the greatest number of identical packages that Shaquira can make =2