Is the data given sufficient?

Algebra Level 4

The members of a chess club took part in a round robin competition in which each player plays every other player once.All members scored the same number of points, except four juniors. The sum of the score of these juniors is 17.5. Find the number of players.

For every win one point is awarded to the victor.
For every draw half a point is awarded to both players.
For every loss the loser is given no points for that round.


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