Carrie went to Hamburger Hut twice last week. On the first trip, she bought 3 hamburgers and 4 orders of french fries for $22.75. On the second trip, she bought 2 burgers and an order of fries for $11. Which system of equations can be used to find the h, the price of a hamburger, and f, the price of an order of french fries?

Let h be the price of a hamburger and f be the price of an order of french fries.

We have the following information from the problem:
On the first trip, Carrie bought 3 hamburgers and 4 orders of french fries for $22.75. This can be represented by the equation:
3h + 4f = 22.75
On the second trip, Carrie bought 2 hamburgers and 1 order of french fries for $11. This can be represented by the equation:
2h + f = 11
Therefore, the system of equations that can be used to find h and f is:
3h + 4f = 22.75
2h + f = 11