Final answer:
Jed kept 5 1/4 pounds of trout.
Step-by-step explanation:
To find the number of pounds of trout Jed kept, we need to divide the amount he caught by 2. Jed caught 10 1/2 pounds of trout, and he decided to keep half, which is 5 1/4 pounds. So Jed kept 5 1/4 pounds of trout.