The night before their debut performance of Hamilton, the cast was staying at a hotel on Michigan Avenue. Fourteen members of the cast went to the casino to play poker. Half of the remaining cast went to the United Center to watch the Bulls play the Lakers. After about an hour, 6 of the cast members who had gone to play poker came back to the hotel, pockets empty. The 11 cast members now at the hotel went to bed and got enough sleep, but the rest of the cast were tired for their debut the next day. How many members are their in the cast?

Answer 1

x cast members at hotel
14 to casino
x-14 left at hotel
(x-14)/2 to UC, leaving (x-14)/2 at hotel
6 return to hotel, so
(x-14)/2 + 6 = 11
x = 24

The only problem with this is that 24-14 = 10, so only 5 could have gone to the UC. How could 6 have returned?

Have i missed something, or is there a typo somewhere?