<PRE><B>Question 685061</B>
There are 66 days food available in camp of 5700 soldiers.
If 20 soldiers are killed in each day, the food will be sufficient for how many days?
:
Find the number of man-food days available
5700 * 66 = 376,200 man-food days
let d = no. of days until food runs out in this situation
:
d(5700-20d) = 376200
5700d - 20d^2 = 376200
A quadratic equation
-20d^2 + 5700d - 376200 = 0
Simplify, divide by -20
d^2 - 285d + 18810 = 0
solve this equation with the quadratic formula
d ~ 104 days 
:
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