Question

В войске 5555 человек. На 10 солдат приходится 1 капрал, на 5 капралов- 1 офицер, на 9 офицеров- 1 генерал. Сколько в войске солдат?

Answer 1

пусть генералов -х,

офицеров  - 9х,

капралов 5*9х=45х.

солдат 10*45х=450х

х+9х+45х+450х=5555

505х=5555

х=5555/505

х=11генералов, 9*11=99офицеров,45*11=495 капралов,450*11=4950 солдат

Answer 2

Calculating the Number of Soldiers in the Army

To calculate the number of soldiers in the army, we can use the given ratios of soldiers to higher-ranking officers.

1. Given Ratios: - 10 soldiers = 1 corporal - 5 corporals = 1 officer - 9 officers = 1 general

2. Calculating the Number of Soldiers: - Let's start with the highest rank, the general, and work our way down to the soldiers.

- Since 9 officers = 1 general, we can infer that 1 officer = 1/9 general. - Similarly, 5 corporals = 1 officer, so 1 corporal = 1/5 officer. - Finally, 10 soldiers = 1 corporal, so 1 soldier = 1/10 corporal.

- Now, we can calculate the total number of soldiers in the army using these ratios.

Calculation: - 1 general = 9 officers - 1 officer = 5 corporals - 1 corporal = 10 soldiers

- Therefore, 1 general = 9 officers = 5 * 9 corporals = 5 * 9 * 10 soldiers

- Total Number of Soldiers = 5 * 9 * 10 = 450 soldiers

Conclusion

The army consists of 450 soldiers.