Answer:
(a) 11110 soldiers
(b) 6404 soldiers
Step-by-step explanation:
Following that logic you can express the men of any level of his organization as 10^n, where n is the level. Some examples:
Level 1: 10^1 = 10
Level 2: 10^2 = 100 Each of the 10 men in level 1 are in charge of 10 men in the level 2 (10 * 10 = 100)
(a) if the lowerst level of the organization has 10,000 soldiers, then the lowest level is:
10^n = 10,000
n = 4
The total number of men under him is:
10^4+10^3+10^2+10^1 = 11110 (Assuming that he is the leader of the first 10 leaders)
(b) In this case the lowest level has 5763, you have a 1 leader for every 10 soldiers, then the leaders needed for the lowest level is:
5763/ 10 = 576.3 = 577 leaders
These 577 leaders also have their own leaders for every 10:
577/10 = 57.7 = 58 leaders
And these also have their own leaders:
58 / 10 = 5.8 = 6
And again We assume these 6 are directly under Genghis Khan
Total soldiers:
5763 + 577 + 58 + 6 = 6404 soldiers
