Question 156
Alberto, Barbara and Carlo play a game. This game consists of $k$ rounds, at the end of each of which the first-placed player receives $a_{1}$ points, the second $a_{2}$ and the third $a_{3}$, with $a_{1}\gt a_{2}\gt a_{3}\gt 0$ all integers. The final scores of Alberto, Barbara and Carlo are $22$, $9$, $9$ respectively. Knowing that Barbara won the first round, who came second in the second round?
(A) Necessarily Alberto
(B) Necessarily Barbara
(C) Necessarily Carlo
(D) Both Alberto and Barbara may have come second
(E) Both Carlo and Barbara may have come second
(A) Necessarily Alberto
(B) Necessarily Barbara
(C) Necessarily Carlo
(D) Both Alberto and Barbara may have come second
(E) Both Carlo and Barbara may have come second