At a recent hilarious Math Teacher's New Year's Eve Party, consisting of three people, there were 21 bottles of apple juice on hand (to find out why beer was not served at the party, see below). Unfortunately, seven of these bottles were empty, seven only half full, and seven completely full.
In order to be completely fair, the host decided to give each of his three guests the same quantity of apple juice and the same number of bottles.
How can this be done without pouring any apple juice?
Q: Do you know why they never have beer at a math teacher's party?
A: Because you can't drink and derive!
Solution to the Problem:
There are two solutions to this problem:
| Guest | Full Bottles | Half-Full Bottles | Empty Bottles | Total Amount of Juice |
|---|---|---|---|---|
| Guest #1 | 2 | 3 | 2 | 3.5 bottles |
| Guest #2 | 3 | 1 | 3 | 3.5 bottles |
| Guest #3 | 2 | 3 | 2 | 3.5 bottles |
| Total | 7 | 7 | 7 | 10.5 bottles |
| Guest | Full Bottles | Half-Full Bottles | Empty Bottles | Total Amount of Juice |
|---|---|---|---|---|
| Guest #1 | 3 | 1 | 3 | 3.5 bottles |
| Guest #2 | 3 | 1 | 3 | 3.5 bottles |
| Guest #3 | 1 | 5 | 1 | 3.5 bottles |
| Total | 7 | 7 | 7 | 10.5 bottles |
Correctly solved by:
| 1. Chris Moats | Winchester, VA |
| 2. Tom Marino | Winchester, VA |
| 3. Michael Webber | Winchester, VA |
| 4. Sam Stiebel | Winchester, VA |
| 5. Chip Crawford | Winchester, VA |
| 6. Jon Pence | Winchester, VA |
| 7. Josh Grewal | Winchester, VA |
| 8. Brandon Jaycox | Winchester, VA |
| 9. Bob Hearn | Winchester, VA |
| 10. Court Pifer | Winchester, VA |