Balance Scale
using distances less than or equal to 20 and 8 or few total blocks
for weights.
| |
# of blocks |
x |
distance |
equals |
# of blocks |
x |
distance |
equals |
product |
total blocks |
| 1 |
1 |
x |
2 |
= |
2 |
x |
1 |
= |
2 |
3 |
| 2 |
1 |
x |
4 |
= |
2 |
x |
2 |
= |
4 |
3 |
| 3 |
1 |
x |
6 |
= |
2 |
x |
3 |
= |
6 |
3 |
| 4 |
1 |
x |
8 |
= |
2 |
x |
4 |
= |
8 |
3 |
| 5 |
1 |
x |
10 |
= |
2 |
x |
5 |
= |
10 |
3 |
| 6 |
1 |
x |
12 |
= |
2 |
x |
6 |
= |
12 |
3 |
| 7 |
1 |
x |
14 |
= |
2 |
x |
7 |
= |
14 |
3 |
| 8 |
1 |
x |
16 |
= |
2 |
x |
8 |
= |
16 |
3 |
| 9 |
1 |
x |
18 |
= |
2 |
x |
9 |
= |
18 |
3 |
| 10 |
1 |
x |
20 |
= |
2 |
x |
10 |
= |
20 |
3 |
| 11 |
1 |
x |
3 |
= |
3 |
x |
1 |
= |
3 |
4 |
| 12 |
1 |
x |
6 |
= |
3 |
x |
2 |
= |
6 |
4 |
| 13 |
1 |
x |
9 |
= |
3 |
x |
3 |
= |
9 |
4 |
| 14 |
1 |
x |
12 |
= |
3 |
x |
4 |
= |
12 |
4 |
| 15 |
1 |
x |
15 |
= |
3 |
x |
5 |
= |
15 |
4 |
| 16 |
1 |
x |
18 |
= |
3 |
x |
6 |
= |
18 |
4 |
| 17 |
1 |
x |
4 |
= |
4 |
x |
1 |
= |
4 |
5 |
| 18 |
1 |
x |
8 |
= |
4 |
x |
2 |
= |
8 |
5 |
| 19 |
1 |
x |
12 |
= |
4 |
x |
3 |
= |
12 |
5 |
| 20 |
1 |
x |
16 |
= |
4 |
x |
4 |
= |
16 |
5 |
| 21 |
1 |
x |
20 |
= |
4 |
x |
5 |
= |
20 |
5 |
| 22 |
1 |
x |
5 |
= |
5 |
x |
1 |
= |
5 |
6 |
| 23 |
1 |
x |
10 |
= |
5 |
x |
2 |
= |
10 |
6 |
| 24 |
1 |
x |
15 |
= |
5 |
x |
3 |
= |
15 |
6 |
| 25 |
1 |
x |
20 |
= |
5 |
x |
4 |
= |
20 |
6 |
| 26 |
1 |
x |
6 |
= |
6 |
x |
1 |
= |
6 |
7 |
| 27 |
1 |
x |
12 |
= |
6 |
x |
2 |
= |
12 |
7 |
| 28 |
1 |
x |
18 |
= |
6 |
x |
3 |
= |
18 |
7 |
| 29 |
1 |
x |
7 |
= |
7 |
x |
1 |
= |
7 |
8 |
| 30 |
1 |
x |
14 |
= |
7 |
x |
2 |
= |
14 |
8 |
| 31 |
2 |
x |
3 |
= |
3 |
x |
2 |
= |
6 |
5 |
| 32 |
2 |
x |
6 |
= |
3 |
x |
4 |
= |
12 |
5 |
| 33 |
2 |
x |
9 |
= |
3 |
x |
6 |
= |
18 |
5 |
| 34 |
2 |
x |
12 |
= |
3 |
x |
8 |
= |
24 |
5 |
| 35 |
2 |
x |
15 |
= |
3 |
x |
10 |
= |
30 |
5 |
| 36 |
2 |
x |
18 |
= |
3 |
x |
12 |
= |
36 |
5 |
| 37 |
2 |
x |
2 |
= |
4 |
x |
1 |
= |
4 |
6 |
| 38 |
2 |
x |
4 |
= |
4 |
x |
2 |
= |
8 |
6 |
| 39 |
2 |
x |
6 |
= |
4 |
x |
3 |
= |
12 |
6 |
| 40 |
2 |
x |
8 |
= |
4 |
x |
4 |
= |
16 |
6 |
| 41 |
2 |
x |
10 |
= |
4 |
x |
5 |
= |
20 |
6 |
| 42 |
2 |
x |
12 |
= |
4 |
x |
6 |
= |
24 |
6 |
| 43 |
2 |
x |
14 |
= |
4 |
x |
7 |
= |
28 |
6 |
| 44 |
2 |
x |
16 |
= |
4 |
x |
8 |
= |
32 |
6 |
| 45 |
2 |
x |
18 |
= |
4 |
x |
9 |
= |
36 |
6 |
| 46 |
2 |
x |
20 |
= |
4 |
x |
10 |
= |
40 |
6 |
| 47 |
2 |
x |
5 |
= |
5 |
x |
2 |
= |
10 |
7 |
| 48 |
2 |
x |
10 |
= |
5 |
x |
4 |
= |
20 |
7 |
| 49 |
2 |
x |
15 |
= |
5 |
x |
6 |
= |
30 |
7 |
| 50 |
2 |
x |
20 |
= |
5 |
x |
8 |
= |
40 |
7 |
| 51 |
2 |
x |
3 |
= |
6 |
x |
1 |
= |
6 |
8 |
| 52 |
2 |
x |
6 |
= |
6 |
x |
2 |
= |
12 |
8 |
| 53 |
2 |
x |
9 |
= |
6 |
x |
3 |
= |
18 |
8 |
| 54 |
2 |
x |
12 |
= |
6 |
x |
4 |
= |
24 |
8 |
| 55 |
2 |
x |
15 |
= |
6 |
x |
5 |
= |
30 |
8 |
| 56 |
2 |
x |
18 |
= |
6 |
x |
6 |
= |
36 |
8 |
| 57 |
3 |
x |
4 |
= |
4 |
x |
3 |
= |
12 |
7 |
| 58 |
3 |
x |
8 |
= |
4 |
x |
6 |
= |
24 |
7 |
| 59 |
3 |
x |
12 |
= |
4 |
x |
9 |
= |
36 |
7 |
| 60 |
3 |
x |
16 |
= |
4 |
x |
12 |
= |
48 |
7 |
| 61 |
3 |
x |
20 |
= |
4 |
x |
15 |
= |
60 |
7 |
| 62 |
3 |
x |
5 |
= |
5 |
x |
3 |
= |
15 |
8 |
| 63 |
3 |
x |
10 |
= |
5 |
x |
6 |
= |
30 |
8 |
| 64 |
3 |
x |
15 |
= |
5 |
x |
9 |
= |
45 |
8 |
| 65 |
3 |
x |
20 |
= |
5 |
x |
12 |
= |
60 |
8 |
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