Fourteen school festival tickets were sold to adults and children. A total of $38 was collected from these ticket sales. Adult tickets cost $4 each, and child tickets cost $1 each. If x represents the number of adult tickets sold and y represents the number of child tickets sold, which of the following systems of equations represents this situation?
A. x + y = 38
4x + y = 14
B. 4x + y = 38
x + y =14
C. 2x + y = 14
y - x = 38
D. x + 2y = 14
y - 2x = 38