Final answer:
To solve this mathematics question, you divide the total number of packages (56) by the number of packages per cart (6), which results in 9 carts filled with a remainder of 2 packages.
Step-by-step explanation:
The subject of the question is Mathematics, specifically division and basic arithmetic operations typically housed in a Middle School curriculum.
To find the number of filled carts, we need to divide the total number of packages (56) by the number of packages per cart (6). This gives us:
Number of filled carts = Total packages to load ÷ Packages per cart
= 56 ÷ 6
= 9 R2
Thus, there will be 9 filled carts, and there will be a remainder, which represents the remaining packages to load. Since 6 packages fill a cart, the remaining packages to load will be the remainder of 2.