On New Year's Eve, guests arrived at a party, each categorized as always telling the truth, always lying, or alternately lying and telling the truth. The alternaters arbitrarily choose their first response, either a lie or the truth, but each subsequent statement has the opposite truth value from its predecessor. The host asked everyone the same three questions in this order:
"Are you a truth-teller?" The host offered a drink to each of the guests who answered yes.
"Are you an alternater?" The host offered a drink to each of the guests who answered yes.
"Are you a liar?" The host offered a drink to each of the guests who answered yes.
How many drinks in total did the host give to the alternaters?
30
35
40
45
50
