A hotel is offering the two weekend specials described below.

Plan A: 3 nights and 4 meals for $233

Plan B; 3 nights and 3 meals for $226.50

For accounting purposes, the hotel will record the income for the stay and the meals separately. So the cost per night for each special must be the same, and the cost per meal for each special must be the same.

What is a system of equations for this situation?

Solve the system. What is the cost per night and the cost per meal? (you must state which one is which to receive full credit.)