Henry Ernest Dudeney/Puzzles and Curious Problems/318 - Target Practice/Solution

Puzzles and Curious Problems by Henry Ernest Dudeney: $318$

Three people in an archery competition had each had six shots at a target, and the result is shown in the diagram,

where they all hit the target every time.

The bull's-eye scores $50$, then the scores are $25$, $20$, $10$, $5$, $3$, $2$, $1$ for the rings from the centre outwards respectively.

It is seen that the hits on target are $1$ bull's-eye, two $25$s, three $20$s, three $10$s, three $1$s and two hits in each of the other rings.

The three men tied with an equal score.

Can you work out who hit what?

The total score was $213$, so each contestant scored $71$.

This can be done as:

one man scores $50$, $10$, $5$, $3$, $2$, $1$

one man scores $25$, $20$, $20$, $3$, $2$, $1$

one man scores $25$, $20$, $10$, $10$, $5$, $1$