Rick and his cousin are playing a game where they pick up colored sticks. Rick currently has 11 points and likes to pick up the pink sticks, earning 7 points every turn. His cousin just lost all her points on the previous turn, and has a strategy to catch up by getting all the purple ones, earning 18 points per turn. In a certain number of turns, the score will be tied. How many points will they each have? How long will that take?

Answer 1

To catch up to 11 points, Rick's cousin needs to earn 11 points. Since she earns 18 points per turn by picking up purple sticks, it will take her 11/18 = <<11/18=0.6111111111111112>>0.61... turns to catch up to Rick's score.
Since they can't split turns, it will take Rick's cousin 1 turn to catch up to him. At the end of this turn, Rick will have 11 + 7 = <<11+7=18>>18 points
Rick's cousin will have 0 + 18 = <<0+18=18>>18 points.
Thus, they will both have 18 points when they tie. Answer: \boxed{18}.