And Which War Would This Be?
A certain captain being asked how many soldiers he had in his company, replied: one half of them are in camp, one third in the trenches, one eighth in the hospital, and four in prison. Of how many men did his company consist?
Solution: Solution suggested by Kim K. (in my calculus class):
Let n = # men in company
FracPlace# men
1/2camp?
1/3trench?
1/8hospital?
xprison4
And, 1/2 + 1/3 + 1/8 + x = 1 implies x = 1/24.
Then, 4/n = 1/24 implies n = 96 men.
Source: Selected Amusements in Philosophy and Mathematics Proper for Agreeable Exercising of the Minds of Youth, 1801, p. 160
