To find out how many cookies Polly freezes, we first need to determine how many full bags she can fill and then calculate how many cookies are left over.
Polly makes 316 cookies and each bag holds 6 cookies. We can divide the total number of cookies by the number of cookies per bag:
\[ 316 \div 6 = 52 \text{ bags with a remainder} \]
Now, we can multiply the number of full bags by the number of cookies per bag to find out how many cookies were used:
\[ 52 \times 6 = 312 \text{ cookies} \]
Next, we subtract the number of cookies used from the total number of cookies to determine how many are left over:
\[ 316 - 312 = 4 \text{ cookies} \]
So, Polly freezes 4 cookies.
The answer is B.
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