prompt: Frankie and Carla played 30 games of ping pong against each other.  Frankie won half as many games as did Carla.  How many games did Carla win?
messages.content: Frankie and Carla played 30 games of ping pong against each other.  Frankie won half as many games as did Carla.  How many games did Carla win?
messages.role: user
messages.content: Let x be the number of games that Frankie won.
  Then the number of games Carla won would be 2*x.
  And the sum of all the games would be x+2*x=30 games.
  Thus, the expression simplifies to 3*x=30.
  And the value of x=<<10=10>>10 games.
  Therefore, the number of Carla's wins would be 2x=20 games.
  #### 20
messages.role: assistant