One day at the John's house, Jonah and Patrick were playing a game. The rules of the game were simple. You try to make the other person flinch without touching them. You have five seconds to do this. If you do this in five seconds, you earn a point. Instead of using points, Jonah and Patrick used pieces of popcorn. After a certain amount of time, Jonah had seventeen pieces, while Patrick only had eleven. After more time, Jonah doubled his amount, while Patrick tripled his amount! After even more time, Jonah gained seven pieces, while Patrick gained only four.

How many pieces of popcorn does Jonah have to give to Patrick, so that they both have an equal amount of popcorn?