The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Part A: Write a system of equations to represent the given scenario. Use the variables "s" for senior citizen tickets and "c" for child.

Part B: Solve the system of equations from Part A algebraically. Show your work.

Part C: Explain what the solution to the system of equations represents in context of the problem. Hint: You will need to put words here, not an equation.