| 12-pt. | 7-pt. | 6-pt. | ||
| Before he commenced, the contents of the bottles were | 12 | 0 | 0 | |
| 1. | He filled the 5-pint | 7 | 0 | 5 |
| 2. | Emptied the 5-pint into the 7-pint | 7 | 5 | 0 |
| 3. | Filled again the 5-pint from the 12-pint | 2 | 5 | 5 |
| 4. | Filled up the 7-pint from the 5 | 2 | 7 | 3 |
| 5. | Emptied the 7-pint into the 12-pint | 9 | 0 | 3 |
| 6. | Poured the 3 pints from the 5 into the 7 | 9 | 3 | 0 |
| 7. | Filled the 5-pint from the 12-pint | 4 | 3 | 5 |
| 8. | Filled up the 7-pint from the 5-pint | 4 | 7 | 1 |
| 9. | Emptied the 7-pint into the 12-pint | 11 | 0 | 1 |
| 10. | Poured 1 pint from the 5-pint into the 7-pint | 11 | 1 | 0 |
| 11. | Filled the 5-pint from the 12-pint | 6 | 1 | 5 |
| 12. | Poured the contents of the 5-pint into the 7-pint | 6 | 6 | 0 |
ANOTHER DECIMATION OF FRUIT.
On the next visit of the youth to his uncle, the latter produced thirty apples and ten oranges, and offered him the favorite oranges, if his nephew could arrange them in an oval, so that by taking every twelfth the apples should remain. But this he could not accomplish, and the old gentleman, being well versed in the "Recreations in Science," proceeded to arrange them thus:
The places which the oranges here occupy can be easily remembered, being Nos. 7, 8, 11, 12, 21, 22, 24, 34, 36, 37.
THE WINE AND THE TABLES.
A certain hotel-keeper was dexterous in contrivances to produce a large appearance with small means. In the dining-room were three tables, between which he could divide 21 bottles, of which 7 only were full, 7 half full, and 7 apparently just emptied, and in such a manner that each table had the same number of bottles, and the same quantity of wine. He did this in two ways:
| Table. | Full Hf. | full. | Empty. | Table. | Full Hf. | full. | Empty. | |
| 1 | 2 | 3 | 2 | | | 1 | 3 | 1 | 3 |
| 2 | 2 | 3 | 2 | | | 2 | 3 | 1 | 3 |
| 3 | 3 | 1 | 3 | | | 3 | 1 | 5 | 1 |
He also performed a similar exploit with 24 bottles, 8 full, 8 half-full, and 8 empty:
| Table. | Full Hf. | full. | Empty. | Table. | Full Hf. | full. | Empty. | |
| 1 | 3 | 2 | 3 | | | 1 | 2 | 4 | 2 |
| 2 | 3 | 2 | 2 | | | 2 | 2 | 4 | 2 |
| 3 | 2 | 4 | 2 | | | 3 | 4 | 0 | 4 |