Fred, owner of The Ski Station, worked for weeks to prepare his shop for the upcoming season. To make room for new
merchandise, Fred held his annual sale of last year's stock. On the first morning of the sale, five customers bombarded Fred;
they all wanted to try the exact same style boot, but no two wore the same size. Fred used his best salesmanship, but the men
said the boots were "too funky" and left. Identify each customer's first name (one is Bert), last name (one is White), boot size,
and the order in which they arrived.
- Dante (who didn't arrive first or last) isn't the customer who needed a size 9-1/2
or the one who needed a size 13.
- Alfonso isn't the customer who wears a size 8.
- The size 10 wearer (who isn't Mr. Sharp) arrived first; the size 13 wearer arrived
sometime after Sharp.
- Mr. Ruhl didn't come in last, but he was later than Vine, who arrived immediately
after the size 10 wearer.
- Neither Eli nor Chuck was fourth or fifth to enter the store.
- The smallest boots in the bunch were tried on by Mr. Toro.
- Sharp (who isn't Eli) doesn't wear size 11.
Solution to the Problem:
Alfonso Ruhl 13 fourth
Bert Toro 8 fifth
Chuck Sharp 9-1/2 third
Dante Vine 11 second
Eli White 10 first
Mr. Toro tried on size 8 boots (6). Mr. Sharp's size isn't 10 or 13 (3) or 11 (7), so he wears
size 9-1/2. The first customer to arrive wears
size 10 (3), so Mr. Vine arrived second (4). The
size 13 customer isn't Mr. Vine, who arrived
second (3), so he's either Mr. Ruhl or Mr.
White. By elimination, Mr. Vine wears size 11.
Since Mr. Ruhl didn't arrive first (4), he isn't
the size 10 wearer; he's the size 13 wearer,
and, by elimination, Mr. White wears size 10.
The last customer to arrive wasn't Mr. Sharp
(3) or Mr. Ruhl (4), so Mr. Toro arrived last.
Mr. Ruhl, who wears size 13, arrived after Mr.
Sharp (3); thus, Mr. Sharp was third and Mr.
Ruhl was fourth. Dante wasn't first or last (1),
so he isn't Mr. White or Mr. Toro; since he
doesn't wear 9-1/2 or 13 (1), he also isn't Mr.
Sharp or Mr. Ruhl. Thus, Dante is Mr. Vine. Eli
didn't arrive third (7), or fourth or fifth (5), so
he's Mr. White, who arrived first. Chuck isn't
Mr. Ruhl or Mr. Toro (5), so he's Mr. Sharp.
Alfonso isn't Mr. Toro (2), so he's Mr. Ruhl,
and, by elimination, Bert is Mr. Toro.
In summary:
Alfonso Ruhl 13 fourth
Bert Toro 8 fifth
Chuck Sharp 9-1/2 third
Dante Vine 11 second
Eli White 10 first