Answer:
number of days the remaining food will last = 100 days
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Hence After 20 days, the remaining food is sufficient for 180 - 20 = 160 days.
Given Remaining soldiers after 20 days = 1000 + 600 = 1600.
Let the remaining food be x.
1000 : 1600 :: x : 160
1000 * 160 = 1600x
160000 = 1600x
x = 100 days.
The remaining food lasts for 100 days.
Answer:
number of days the remaining food will last = 100 days