Carlene played in two chess tournaments, each consisting of a number of chess games, and she played more games in the second tournament than in the first tournament. In each tournament, she won at least one game and won twice as many games as she lost. She scored 1 point for each game she won, 0 points for each game she lost, and \frac{1}{2} point for each game she neither won nor lost.
Quantity A
Carlene's total score in the first tournament divided by the number of games she played in that tournament
Quantity B
Carlene's total score in the second tournament divided by the number of games she played in that tournament