To solve this problem, we can set up a system of equations to represent the given information. Let x represent the cost of one steak burger. Then we can set up the following system of equations:
3x + 2(f) = 18
2x + 3(f) = 15.75
Where f represents the cost of one order of fries.
Subtracting the second equation from the first equation gives us:
x = 18 - 2(f) - 15.75 + 3(f)
= 18 - 15.75
= 2.25
Therefore, the cost of one steak burger is $2.25, which is answer choice C.