If Isabella picked a total of 8 1/3 pounds of apples and put them into two bags, we can find out how many pounds each bag holds by dividing the total weight of apples by the number of bags.
First, convert 8 1/3 pounds into an improper fraction:
8 1/3 = \( 8 \times 3 + 1 = 24 + 1 = 25/3 \)
Now, divide this amount by 2 (the number of bags):
\[ \frac{25/3}{2} = \frac{25}{3} \times \frac{1}{2} = \frac{25}{6} \]
Now, we can express \( \frac{25}{6} \) as a mixed number:
\[ \frac{25}{6} = 4 \frac{1}{6} \]
So, each bag holds \( 4 \frac{1}{6} \) pounds of apples.