Question 20
At a party, five large pizzas are each cut into 12 pieces, initially one piece per guest. More guests arrive, so the waiter takes some uneaten pieces and cuts each into 12 smaller pieces. At the end everyone has eaten exactly one piece. Which total number of guests is possible?

Source-intended convention: all final pizza pieces are distributed and eaten, with no leftovers. Otherwise the number of guests need not equal the number of pieces, and other listed totals could be possible.

Source-intended convention: all final pizza pieces are distributed and eaten, with no leftovers. Otherwise the number of guests need not equal the number of pieces, and other listed totals could be possible.