Logic Problem Solution:
Food Court Jobs
By clue 5, Heather has a job at the food stand between Big Wally's
and the ice cream stand. By clue 1, David's job isn't at the ice
cream stand, nor is it at Big Wally's (12); David doesn't work in
either stand next to Heather. By clue 9, David has a job at the stand
between Le Bon Appetit and the pizza place. If David and Heather had
one business between them, then either Big Wally's would be the pizza
stand--no (19)--or Le Bon Appetit would sell ice cream--unlikely by
its name but definitely no by clue 13. We now test whether Heather
and David had two other food court businesses between them. By clue
16, Bob works between Thresher's and the sub shop. Since Heather
doesn't work at the sub shop (8) or Thresher's (20), Bob doesn't work
next to her. Similarly, since David doesn't make subs (1) and doesn't
work at Thresher's (12), Bob doesn't work next to David. So, Bob's
place of employment would be to the outside of the Food Court row
of Heather's or David's stand. Since Thresher's isn't the pizza place
(2) and Le Bon Appetit isn't the sub shop (13), Bob would have to work
with at least two stands between him and David--impossible, since that
would put Bob in an outside stand and he isn't (16). So, Bob would
have to work one stand away from Heather; and since Big Wally's isn't
the sub shop (19), Thresher's ice cream would have to be between
Heather and Bob. Bob and David would work in the stands next to the
outside ones. By clue 3, Perry's Place is between the place where
Erin works and the deli. If Heather worked at Perry's Place, Big
Wally's would be the deli, which it isn't (7). Because Erin doesn't
work at Big Wally's (7), Perry's Place also couldn't be between Big
Wally's and where David is employed. If David were at Perry's Place,
by clues 3 and 9, Erin would work at the pizza parlor--no (17).
Therefore, there is no way for the arrangement of Heather and David
with two stands between theirs to work. Now we try three establishments
between those where David and Heather are working. Since David isn't
making subs (1) and isn't at Thresher's (12), Bob in clue 16 can't be in
the stand next to David's; nor can Bob be in a stand to the outside
of David's or he would be in an end stand and isn't (16). If Bob were
in the stand one apart from both David and Heather, by clues 9 and 16,
Thresher's would be a pizza parlor--no (2)--or Le Bon Appetit would
be a sub shop--also no (13). By clues 5 and 16, if Bob were next
to Heather, Heather would make subs, which she doesn't (8), or she
would work at Thresher's, which she doesn't (20). So, Bob would be
in the stand two away from Heather's to the outside of Heather's--but
this would put David in an outside stand and contradict clue 9. So,
the only arrangement that works is that there are four other stands
between those where David and Heather are working, putting them in
the establishments next to the two outside stands. Again, since
neither David (1, 12) nor Heather (8, 20) works at the sub shop or
at Thresher's, Bob isn't in a stand next to either of them (16).
If Bob were separated from David by one stand, then by clues 9 and 16,
Thresher's would serve pizza--no (2)--or Le Bon Appetit would sell
subs--also no (13). So, Bob is separated from Heather by one stand; and
since Big Wally's isn't a sub shop (19), by clues 5 and 16, Thresher's
ice cream is between their employers. Then Big Wally's is in the
outside stand next to Heather's (5), and the sub shop is next to Bob's
on the other side of Thresher's (16). Since Big Wally's isn't the
deli (7), Heather doesn't work at Perry's Place (3), nor does Bob,
since he has the ice cream and sub shops on either side of him and
not the deli (3). If David were at Perry's Place, Erin would have
to work at the pizza parlor (3, 9), which she doesn't (17). Perry's
Place isn't the sub shop (6). Perry's Place must be between the
sub shop and where David works. Then David works at the deli and
Erin at the sub shop (3). By clue 9, Perry's Place is a pizza stand,
and Le Bon Appetit is the stand on the outside of the row next to the
one where David works. By clue 4, Under the Boardwalk sells fries
and is thus where Heather or Bob works. Since Alex works next to
Under the Boardwalk (4) and doesn't work at Thresher's Ice Cream (11),
Under the Boardwalk must be Heather's work place, and Alex is at
fun-loving Big Wally's (11). Since Grace works next to the soup
kitchen (10), she is at Thresher's and Bob sells soup. Weiner's
must be the deli, and Le Bon Appetit the bakery (14). By elimination,
Big Wally's makes hamburgers. Faith works at Le Bon Appetit, and Chad
tosses pizzas at Perry's (18). The sub shop is called The Original,
and Bob is at the Soup Notzie's (21). Finally, by clue 15, Le Bon
Appetit is #8, Weiner's #7, etc., through Big Wally's #1 Food Court.
In conclusion, the eight teens work at the Food Court stands as
follows:
- #1 - Alex, Big Wally's Hamburgers
- #2 - Heather, Under the Boardwalk Fries
- #3 - Grace, Thresher's Ice Cream
- #4 - Bob, Soup Notzie's
- #5 - Erin, The Original Sub Shop
- #6 - Chad, Perry's Pizza Place
- #7 - David, Weiner's Deli
- #8 - Faith, Le Bon Appetit Bakery
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