M>J and R>225 (R not the lowest score) where M, J and R are the initials of the players.
From these facts we know that neither M nor R could have scored 225 so J=225.
The differences between 225 and the other scores are 725-225=500 and 510-225=285.
285 is approximately 300 so M=510 and R=725.
Solution: Mary's score was 510, Jose's was 225 and Rick's was 725.