The four pieces of rock must weigh 1 pound, 3 pounds, 9 pounds, and 27 pounds. | |||||||||

Listed below are combinations that will give the farmer each 1 pound increment from 1 pound to 40 pounds. | |||||||||

Left Platter | Right Platter | Weight | |||||||

1 | - | 1 | |||||||

3 | 1 | 2 | |||||||

3 | - | 3 | |||||||

3 and 1 | - | 4 | |||||||

9 | 3 and 1 | 5 | |||||||

9 | 3 | 6 | |||||||

9 and 1 | 3 | 7 | |||||||

9 | 1 | 8 | |||||||

9 | - | 9 | |||||||

9 and 1 | - | 10 | |||||||

9 and 3 | 1 | 11 | |||||||

9 and 3 | - | 12 | |||||||

9 and 3 and 1 | - | 13 | |||||||

27 | 9 and 3 and 1 | 14 | |||||||

27 | 9 and 3 | 15 | |||||||

27 and 1 | 9 and 3 | 16 | |||||||

27 | 9 and 1 | 17 | |||||||

27 | 9 | 18 | |||||||

27 and 1 | 9 | 19 | |||||||

27 and 3 | 9 and 1 | 20 | |||||||

27 and 3 | 9 | 21 | |||||||

27 and 3 and 1 | 9 | 22 | |||||||

27 | 3 and 1 | 23 | |||||||

27 | 3 | 24 | |||||||

27 and 1 | 3 | 25 | |||||||

27 | 1 | 26 | |||||||

27 | - | 27 | |||||||

27 and 1 | - | 28 | |||||||

27 and 3 | 1 | 29 | |||||||

27 and 3 | - | 30 | |||||||

27 and 3 and 1 | - | 31 | |||||||

27 and 9 | 3 and 1 | 32 | |||||||

27 and 9 | 3 | 33 | |||||||

27 and 9 and 1 | 3 | 34 | |||||||

27 and 9 | 1 | 35 | |||||||

27 and 9 | - | 36 | |||||||

27 and 9 and 1 | - | 37 | |||||||

27 and 9 and 3 | 1 | 38 | |||||||

27 and 9 and 3 | - | 39 | |||||||

27 and 9 and 3 and 1 | - | 40 |