Brian is making up identical packs of muffins. He has baked 8 chocolate, 16 strawberry, 12 banana and some blueberry muffins. Each sample pack is to have 2 dozen muffins. What is the smallest number of blueberry muffins Brian could have baked?

8 Chocolate, 12 Banana, 16 Strawberry, and 20 Blueberry muffins.

Note: Each number is increased by 4.

To find the smallest number of blueberry muffins Brian could have baked, we can first calculate the total number of muffins he has baked so far.

He has baked 8 chocolate muffins, 16 strawberry muffins, and 12 banana muffins.

Let's calculate the total number of muffins:

8 (chocolate) + 16 (strawberry) + 12 (banana) = 36 muffins

Since each sample pack is supposed to have 2 dozen muffins, which is equal to 24 muffins, we need to find the remainder when we divide the total number of muffins by 24.

36 (total muffins) % 24 (muffins in a sample pack) = 12

The remainder is 12, which means Brian has 12 extra muffins that cannot make a complete sample pack.

In order to have the smallest number of blueberry muffins, we want to distribute these 12 extra muffins evenly among the flavors. Since all the other flavors are already accounted for, the smallest number of blueberry muffins Brian could have baked is 12.