Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Wayne and his cousin are playing a game where they pick up colored sticks. Wayne currently has 22 points and likes to pick up the white sticks, earning 4 points every turn. His cousin just lost all his points on the previous turn, and has a strategy to catch up by getting all the yellow ones, earning 15 points per turn. In a certain number of turns, the score will be tied. How long will that take? How many points will they each have?