Question

a fort had enough food for 80 soldiers for 60 days. how long will the food last if 20 more soldiers join the fort?​

Answer 1

Answer:

Given,

A fort is provided with food for 80 soldiers to last for 60 days.

After 15 days,

The food is sufficient for 80 soldiers for (60–15) days = 45 days.

Also given that, 20 additional soldiers join the fort.

So number of soldiers in the fort = 80+20=100

We know that,

For 80 soldiers, the food is sufficient for = 45 days

For 1 soldiers, the food is sufficient for = (80×45) days

∴ For 100 soldiers, the food is sufficient for =

$\binom{80 \times 45}{1} 00days$

=36 days.

Step-by-step explanation:

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