It gives all the permutations of the solutions, but I think I’m beating everyone else for code size.
item(X) :- member(X,[215, 275, 335, 355, 420, 580]).
solution([X|Y], Z) :- item(X), plus(S, X, Z), Z >= 0, solution(Y, S).
solution([], 0).
Solution with swiprolog:
?- solution(X, 1505).
X = [215, 215, 215, 215, 215, 215, 215] ;
X = [215, 355, 355, 580] ;
X = [215, 355, 580, 355] ;
X = [215, 580, 355, 355] ;
X = [355, 215, 355, 580] ;
X = [355, 215, 580, 355] ;
X = [355, 355, 215, 580] ;
X = [355, 355, 580, 215] ;
X = [355, 580, 215, 355] ;
X = [355, 580, 355, 215] ;
X = [580, 215, 355, 355] ;
X = [580, 355, 215, 355] ;
X = [580, 355, 355, 215] ;
No