Henry Ernest Dudeney/Puzzles and Curious Problems/317 - The Archery Match

by : $317$

 * The Archery Match
 * On a target on which the scoring was $40$ for the bull's-eye, and $39$, $24$, $23$, $17$ and $16$ respectively for the rings from the centre outwards, as shown in the diagram,
 * three players had a match with six arrows each.


 * Dudeney-Puzzles-and-Curious-Problems-317.png


 * The result was:
 * Miss Dora Talbot: $120$ points;
 * Reggie Watson, $110$ points;
 * Mrs. Finch, $100$ points.
 * Every arrow scored, and the bull's-eye was only once hit.
 * Can you, from these facts, determine the exact six hits made by each competitor?