[Prof. Templeton]

Long before Professor Templeton started his career at the Redrum University he had a job at Whiskey distillery in Tennessee. Shortly after a fellow employee was caught stealing, the Prof. was promoted to night manager. One night, toward the end of his shift, he was called into his boss’ office.

“What became of that watered down barrel of whiskey?” his boss asked.

“We ended up bottling it into the left-over special edition bottles and some was consumed at the Holiday party”, the Prof. replied.

“Ah, that would explain why the whiskey at the party tasted a little off. How many bottles of the stuff are there?”

“We bottled a dozen large and a dozen small which was all the special edition bottles that we had, of those, five of each were drunk at the party”.

“There are three men that did not go to the party, but stayed at the plant cleaning the tanks. I want each man to receive the same amount of that whiskey. Also make sure that each receives the same amount of large and small bottles, be they full or empty, as they are worth something as well”.

“Right away, sir”, said the Prof.

The Prof. set about his task which wasn’t as easy as it sounded. Now the large bottles held twice as much whiskey as did the small, but two small bottles that were empty were worth more than an empty large bottle which was why the boss wanted each of the three men to receive the same amount.

How did Prof. Templeton end up dividing the whiskey and bottles?

[Guest]

were saved, then the Prof. could pour one of the remaining large bottles into two empty small ones, and give each of the 3 men two larges and three smalls.

[Guest]

Long before Professor Templeton started his career at the Redrum University he had a job at Whiskey distillery in Tennessee. Shortly after a fellow employee was caught stealing, the Prof. was promoted to night manager. One night, toward the end of his shift, he was called into his boss’ office.

“What became of that watered down barrel of whiskey?” his boss asked.

“We ended up bottling it into the left-over special edition bottles and some was consumed at the Holiday party”, the Prof. replied.

“Ah, that would explain why the whiskey at the party tasted a little off. How many bottles of the stuff are there?”

“We bottled a dozen large and a dozen small which was all the special edition bottles that we had, of those, five of each were drunk at the party”.

“There are three men that did not go to the party, but stayed at the plant cleaning the tanks. I want each man to receive the same amount of that whiskey. Also make sure that each receives the same amount of large and small bottles, be they full or empty, as they are worth something as well”.

“Right away, sir”, said the Prof.

The Prof. set about his task which wasn’t as easy as it sounded. Now the large bottles held twice as much whiskey as did the small, but two small bottles that were empty were worth more than an empty large bottle which was why the boss wanted each of the three men to receive the same amount.

How did Prof. Templeton end up dividing the whiskey and bottles?

This seems a bit too straightforward for the Prof but...

There are 12 Large and 12 Small bottles, so each worker needs four of each.

There are 7 Large bottles full of whisky and seven Small bottles. 1L = 2S (in volume terms) so there is 21S of whisky to be distributed and each worker needs the equivalent of 7 small bottles.

So we distribute them:

Worker 1: 2 large full, 2 large empty; 3 small full; 1 small empty

Worker 2: 2 large full, 2 large empty; 3 small full; 1 small empty

Worker 3: 3 large full, 1 large empty; 1 small full; 3 small empty

[Prof. Templeton]

This seems a bit too straightforward for the Prof but...

There are 12 Large and 12 Small bottles, so each worker needs four of each.

There are 7 Large bottles full of whisky and seven Small bottles. 1L = 2S (in volume terms) so there is 21S of whisky to be distributed and each worker needs the equivalent of 7 small bottles.

So we distribute them:

Worker 1: 2 large full, 2 large empty; 3 small full; 1 small empty

Worker 2: 2 large full, 2 large empty; 3 small full; 1 small empty

Worker 3: 3 large full, 1 large empty; 1 small full; 3 small empty

You haven't missed anything. They can't all be head-bangers.

[Guest]

Ah, I missed the "be they full or empty" part. I thought everyone was just getting full bottles. Oh well, I'd much rather have the full bottles than the empty ones, as they would become empty soon enough.

Edited January 20, 2009 by lazboy

[Guest]

Ah, I missed the "be they full or empty" part. I thought everyone was just getting full bottles. Oh well, I'd much rather have the full bottles than the empty ones, as they would become empty soon enough.

I had thought as armcie, as it was the simplest solution, but I didn't want to post, since I had to have something missed.

After reading your answer, I said "yes, there is no reason to give an empty bottle to somebody". Although prof have confirmed armcie's solution, I still think that yours make more sense.