Logic Problem Solution:
Goose's Games
By clue 7, the five Goose's Games booth attendants earned
from $75 to $200 on Saturday, with no two making the same
sum. By clue 1, Leann earned twice as much as Tanner, who
made $25 less than the operator of "Hoop Shot." By clue 6,
the operator of "Fast Ball" made twice as much as Waters.
So, either all five attendants are named between the two
clues, or there is some commonality. Trying the latter
case, if the "Fast Ball" game were Leann's, then Tanner
and Waters would have made the same amount, contradicting
clue 7. If the "Fast Ball" attendant were Tanner, given
that Waters made the least, $75 (7), by clues 1 and 6,
Leann would have earned $300--no (7). So, the "Fast Ball"
operator is the fourth to the three named in clue 1. If
Waters in clue 6 were Leann in clue 1, given that Tanner
made the least sum, $75 (7), the "Fast Ball" game attendant
would have earned $300--no (7). If Waters were the "Hoop
Shot" game operator, by clues 1 and 6, Tanner would have
made the $75 minimum; any other amount would take the "Fast
Ball" operator over $200, conflicting with clue 7. So, if
Waters were the "Hoop Shot" attendant, Tanner would have
earned $75, Waters $100, Leann $150 (1), and the "Fast Ball"
operator $200 (6). By clue 4, Shell made $75 more than
the "Duck Pond" attendant, who isn't Tanner. The "Duck
Pond" operator can't be Leann, or Shell would have made
$225; so the "Duck Pond" operator would be the fifth to
the four in clues 1 and 6, who would include Shell. Shell
isn't Leann, or the "Duck Pond" attendant would have earned
$75 (4) and be Tanner, since Tanner made $75 and no two made
the same amount; but the "Duck Pond" operator isn't Tanner
(4). Shell would have made $200 running the "Fast Ball"
booth, and the "Duck Pond" game would have earned its
attendant $125 (4). However, there is now no way for clue
3--Shore making $25 more than the "Ring Toss" operator--to
work. Therefore, Waters isn't the "Hoop Shot" attendant,
and all five Boardwalk game operators are named between
clues 1 and 6: Leann, Tanner, the "Hoop Shot" attendant,
the "Fast Ball" operator, and Waters. If the one who runs
"Fast Ball" made the most, $200 (7), and Waters made $100
(6), then Tanner would have made the least, $75 (7), and
the "Hoop Shot" attendant would also have earned $100 (1),
a contradiction with clue 7. So, Leann made the $200,
Tanner earned $100, and the "Hoop Shot" attendant took
home $125. Waters then made the $75 (7), and the "Fast Ball"
operator netted $150 (6). By clue 4, Shell must be the
"Fast Ball" booth attendant, and Waters runs the "Duck Pond"
game. By clue 3, Shore has the "Hoop Shot" game, and Tanner
operates the "Ring Toss." By elimination, Leann Sands works
the "Water Clowns." By clue 5, Cindy made $50 more than Ian
did. Since Ian doesn't have the "Ring Toss" game (3),
Cindy must be Shore; and Ian attends the "Duck Pond." By
clue 2, Jana is Tanner and Kevin Shell. The five Goose's
Games attendants and the amounts they earned on Saturday
are
- "Water Clowns," Leann Sands, $200
- "Fast Ball," Kevin Shell, $150
- "Hoop Shot," Cindy Shore, $125
- "Ring Toss," Jana Tanner, $100
- "Duck Pond," Ian Waters, $75
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