Solve the Problem by Setting Up and Solving a System

Multiple Choice

Solve the problem by setting up and solving a system of two linear equations in two variables. Use either the elimination-by-addition or the substitution method to solve the system. Suppose that a certain motel rents double rooms at $38 per day and single rooms at $24 per day. If a total of 75 rooms was rented one day for $2,318, how many of single rooms were rented?

A) 37 rooms
B) 75 rooms
C) 43 rooms
D) 38 rooms
E) none of these