They could give to teams more than likely on an average score the whole team has done, or at least that is what they are supposed to do. but they also might award the team which had more teammates get better places. for example if party place got three people on their team but they all did 3rd then boring barn who got 1 person could possibly win if that one person gets 1st place.
The answer to the math question
What were you watching there on the tv? My little pony? Adventure time?
