SOLUTION: A garrison of 400 men had food enough for 15 weeks. Some men were sent out and the food lasted for 20 weeks. How many men were sent out?

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Question 963815: A garrison of 400 men had food enough for 15 weeks. Some men were sent out and the food lasted for 20 weeks. How many men were sent out?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A garrison of 400 men had food enough for 15 weeks.
They had: 400*15 = 6000 man-weeks of food
:
Some men were sent out and the food lasted for 20 weeks.
How many men were sent out?
let m = no. of men sent out
20(400-m) = 6000
8000 - 20m = 6000
-20m = 6000 - 8000
-20m = -2000
m = -2000/-20
m = +100 men sent out
:
:
Confirm this. 400 - 100 = 300 men actually
300 * 20 = 6000 man-weeks