Logic Problem Solution:
The Krispy Kreme Prom
From the introduction, no two of the top five Krispy Kreme
doughnut salespeople brought in the same amount. By clue 1,
the five prize winners sold a total of $4,000 worth of
doughnuts, with the 5th highest salesperson having sold $400
worth. Three of the top five are mentioned in clue 3:
Long, who sold $200 more than Candace, who sold $400 more
than the one who won Mr. Russo's handmade silver ring.
By clue 5, Elise sold twice as much as Young. Elise isn't
Long (10), so either Elise got the ring as a prize or
Elise is the fourth top salesperson to the three listed in
clue 3. If Elise had won the silver ring and we let Young
be the one who sold the least amount, $400 worth of Krispy
Kremes (1), Elise would have sold $800 worth to win the
ring, Candace's sales total would have been $1,200, and
Long would have sold $1,400 worth of doughnutsa total of
$3,800, leaving the fifth winner with $200 in sales and
contradicting clue 1. If we let Young having sold more
than the $400, the fifth person would have sold even less.
So, Elise didn't choose the ring; she is the fourth prize
winner to the three in clue 3. In clue 5, then, either
Young is Candace, Young received the ring as a prize, or
Young is the fifth top salesperson to the four already
recovered. If Young were Candace and we let the person who
won Mr. Russo's ring be the $400 salesperson, by clues 3
and 5, Candace Young would have brought in $800, Long
$1,000, and Elise $1,600a total of $3,800, leaving the
fifth person with $200 in sales and contradicting clue 1.
If the ring winner had sold more than the $400, of course,
the fifth person would have brought in even less than $200.
Therefore, Young isn't Candace. If Young had chosen the
silver ring as a prize, either Young would have sold $400
worth of doughnuts or Young would have been the 4th highest
salesperson. If Young had gotten the ring and had sold
$400 worth, both Candace (3) and Elise (5) would have had
sales of $800by the intro, no. If Young had been the
4th highest salesperson, then the four highest would have
sold $3,600 worth of doughnuts total (1). Letting Young's
sales equal X, by clues 3 and 5, Candace's would have been
X + 400, Long's X + 600, and Elise's 2X, so that 5X + 1,000
would equal $3,600, or X would equal $520. So Young would
have sold $520 worth of Krispy Kremes, Candace $920, Long
$1,120, and Elise $1,040. By clue 2, the person who
attended the Blades ice hockey game with Mrs. Bennett sold
twice as much as junior Dietz. There is no way for this
clue to work given the arrangement with Young as 4th highest
and ring winner. So, Young is the fifth prize winner to
Long, Candace, the one who won the silver ring, and Elise.
Either Young or the ring winner sold $400 worth of doughnuts
(1, 3, 5). If Young had, then Elise would have sold $800
worth (5), leaving $2,800 in sales for the three in clue
3. Letting the ring winner's total sales be X, Candace's
would be X + 400 and Long's X + 600or 3X + 1,000 equals
2,800 and X = 600. So, the ring winner would have sold
$600 worth, Candace $1,000, and Long $1,200. The only
way clue 2 could fit into this arrangement would be if
Dietz had won the ring and Long the Blades game with
Mrs. Bennettno (6). Therefore, the ring winner sold $400
worth of Krispy Kremes, Candace sold $800, and Long brought
in $1,000, a total of $2,200 and leaving $1,800 between
Elise and Young (1). By clue 5, Elise was top salesperson
with $1,200 and Young fourth with $600. By clue 2, Dietz
is the junior who won the silver ring made by Mr. Russo,
and Candace picked going to the Blades hockey game with
Mrs. Bennett. By clue 9, Jeffrey is Long. Adam is Young
and Kerrie Dietz (8). Neither Elise (4) nor Adam (8)
went to see Hamlet with Mrs. Furman, so Jeffrey
did. By clue 10, Elise picked up the five +10% Calculus I
test boosts, so Adam won the dinner for four cooked by
Mr. Scanlon. Elise is Walls and Candace Gore (7). The
top five Krispy Kreme doughnuts salespeople, the amounts they
sold, and the prizes they won are
 Elise Walls, $1,200, 5 +10% Calculus I test score boosts from Mr. Hegarty
 Jeffrey Long, $1,000, Hamlet with Mrs. Furman
 Candace Gore, $800, Blades ice hockey game with Mrs. Bennett
 Adam Young, $600, dinner for four cooked by Mr. Scanlon
 Kerrie Dietz, $400, silver ring made by Mr. Russo

