SOLUTION: A certain captain being asked how many soliders 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 pr

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Question 216370: A certain captain being asked how many soliders 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?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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?
:
Let x = no. in the co
:
x = 1%2F2x + 1%2F3x + 1%2F8x + 4
:
Multiply equation by 24, get rid of the denominator, results:
24x = 12x + 8x + 3x + 24(4)
:
24x = 23x + 96
:
24x - 23x = 96
:
x = 96 men in the co
;
:
YOu can check the solution in the original equation