Chapter 1, Problem 30E

Imagine that in the voting for the American League Cy Young Award (7 points for first place, $4$ points for second, $3$ points for third, $2$ points for fourth, and $1$ point for fifth) there were five candidates (A, B, C, D, and E) and $50$ voters. When the points were tallied A had $152$ points, B had $133$ points. C had $191$ points and D had $175$ points. Find how many points E had and give the ranking of the candidates. (Hint: Each of the $50$ ballots hands out a fixed number of points. Figure out how many, and take it from there.)