prompt: Nancy and Jason are learning to dance for the first time. Nancy steps on her partner's feet 3 times as often as Jason. If together they step on each other's feet 32 times, how many times does Jason step on his partner's feet?
messages.content: Nancy and Jason are learning to dance for the first time. Nancy steps on her partner's feet 3 times as often as Jason. If together they step on each other's feet 32 times, how many times does Jason step on his partner's feet?
messages.role: user
messages.content: Let n be the number of times Nancy steps on her partner's feet and j be the number of times Jason does. We know that n = 3j and n + j = 32.
  Substituting the first equation into the second equation, we get 3j + j = 32
  Combining like terms, we get 4j = 32
  Dividing both sides by 4, we get j = 8
  #### 8
messages.role: assistant