Samantha and Ethan are students who are participating in a school fundraiser. Samantha sells $x$ chocolate bars and Ethan sells $y$ chocolate bars. The total number of chocolate bars sold by both of them is 20. Additionally, Samantha sold 4 more chocolate bars than Ethan. These relationships can be summarized by the following system of equations:
1. $x + y = 20$
2. $x = y + 4$
How many chocolate bars did Samantha sell?