| From the introduction, each of the five winning scores was a different
number of points. By clue 1, the five scores totaled 16 billion points,
with a high score of 6 billion. By clue 6, Mark's scored 2 billion more
points than the Twilight Zone winner, who scored 2 billion more
points than Crockett did in his win. By clue 10, Ken tallied 2 billion
more points than Evans did. Ken can't have won on the Twilight Zone
in clue 6, since then Crockett (6) and Evans (10) would have scored the
same number of points. Evans can't have won on the Twilight Zone,
since then Mark (6) and Ken (10) would have scored the same number of
points. So, either Ken is Crockett, Mark is Evans, or all five pinball
players are named in clues 6 and 10. If either of the first two cases were
true, and given that Ken or Mark had scored the high of 6 billion points, three
others would have tallied 4 billion, 2 billion, and 0--a conflict with the
introduction which states that each scored a different number of points.
So, between clues 6 and 10, all five players are named; and either Mark
or Ken scored the high of 6 billion. If Ken had tallied 6 billion points,
Evans would have scored 4 billion (10). The three in clue 6 would then
have scored a total of $6 billion (1). However, even if Crockett's score
were only 1 point, the Twilight Zone winner would have scored
2,000,000,001 and Mark 4,000,000,001, a total of $6,000,000,003 and a
contradiction. Mark therefore scored the high of 6 billion, with the
Twilight Zone champion scoring 4 billion and Crockett 2 billion (6).
The remaining 4 billion points (1) must be split so that Ken scored 2 billion
more than Evans (10)--so Ken's winning score was 3 billion and Evans' was
1 billion. By clue 3, the Monopoly winner scored twice as many points
as Joe did in his victory. The Monopoly winner must be Crockett, and
Joe is Evans. By clue 4, the player who represented Cap'n Carl's Amusements
tallied twice as many points as the Frankenstein champion. Since Ken
isn't the Frankenstein champion (10), Joe must be; and Crockett won his
title on the Monopoly pinball machine as the representative of Cap'n
Carl's Amusements. By clue 11, Crockett is Sam; and Brett won on the
Twilight Zone. Also by clue 11, then, Mark is champion at the
Addams Family game. By elimination, Ken's victory came on the
Theater of Magic game. Ken's surname is Rivers (9). By clue 5, Mark
is Thurmond and Brett Wilson. Joe won the Frankenstein title playing
for Freddy's House of Fun (2). Neither Mark Thurmond (7) nor Twilight
Zone champion Brett (12) represented Pacific Pier, so Theater of
Magic winner Ken did. By clue 8, finally, Mark played for James' Games,
and Brett represented Big Al's Arcade. In sum, the five pinball champions
in the Sanata Isabela tournament are
- Mark Thurmond, James' Games, Addams Family, 6 billion
- Brett Wilson, Big Al's Arcade, Twilight Zone, 4 billion
- Ken Rivers, Pacific Pier, Theater of Magic, 3 billion
- Sam Crockett, Cap'n Carl's Amusements, Monopoly, 2 billion
- Joe Evans, Freddy's House of Fun, Frankenstein, 1 billion
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