Chapter 1, Problem 29E

An election was held using the conventional Borda count method. There were four candidates (A, B, C. and D) and 110 voters. When the points were tallied(using $4$ points for first, $3$ points for second, $2$ points for third, and $1$ point for fourth), A had $320$ points, B had $290$ points, and C had $180$ points. Find how many points D had and give the ranking of the candidates. (Hint: Each of the 110 ballots hands out a fixed number of points. Figure out how many, and take it from there.)