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

She can make at most 2 packages.

Answer 2

2 packets

Explanation:

∵ Number of chocolate cookies = 86,

Also, the number of sugar cookies = 42,

Since, 86 = 2 × 43,

42 = 2 × 3 × 7

HCF (86, 42) = 2

Now, if we want to create identical packages of cookies such that all cookies are used,

Then the greatest number of such packages = HCF(86, 42) = 2