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f Khan had an army of 10,000 soldiers at the lowest level, how many men in total were under him in his organization? (b) If Khan had an army of 5763 soldiers at the lowest level, how many men in total were under him in his organization? Assume that the groups of 10 should contain 10 if possible, but that one group at each level may need to contain fewer.

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This question is incomplete, the complete question is;

Genghis Khan organized his men into groups of 10 soldiers undera“leader of 10.” Ten “leaders of 10”were undera“leader of 100.” Ten “leaders of 100”were undera“leader of 1,000.”

(a) If Khan had an army of 10,000 soldiers at the lowest level, how many men in total were under him in his organization?

(b) If Khan had an army of 5,763 soldiers at the lowest level, how many men in total were under him in his organization?

Assume that the groups of 10 should contain 10 if possible, but that one group at each level may need to contain fewer

Answer:

a) = 11110 soldiers

b = 6404 soldiers

Explanation:

Given that Khan arranged his men in to groups of 10 soldiers under a "leader of 10" Ten" leaders of 10 were under a "leader of 100." Ten" leaders of 100" were under a "leader of 1000"

so

a) If Khan had an army of 10,000 soldiers at the lowest level, how many men in total were under him in his organization?

NOW

Number of soldier = 10,000

Lower Rank (soldier) = 10000

third highest (leader of 10) = 10000/10 = 1000

second highest ( leader of 100) = 1000/10 = 100

Highest ranked ( Leader of 1000) = 100/10 = 10

so the Total = 10000 + 1000 + 100 + 10 = 11110 soldiers

b) If Khan had an army of 5,763 soldiers at the lowest level, how many men in total were under him in his organization? Assume that the groups of 10 should contain 10 if possible, but that one group at each level may need to contain fewer

NOW

Number of soldiers = 5,763

Lowest Rank (soldier) = 5763

third highest (leader of 10) = 5763/10 = 576.3 = 577 (whole number required for human)

second highest ( leader of 100) = 577/10 = 57.7 = 58

Highest ranked ( Leader of 1000) = 58/10 = 5.8 = 6

so the Total = 5763 + 577 + 58 + 6 = 6404 soldiers

User INElutTabile
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