Question

A fort had provisions for 175 men for 70 days. After 10 days, 25 men left the fort. How long will the provision last ?​

Answer 1

70 days

Explanation:

we know that

A fort had provisions for 175 men for 70 days.

After 10 days a fort had provisions for 175 men for (70-10)=60 days

but

25 men left the fort

so

The remaining men are 175-25=150 men

Let

x ----> how long the provision will last

we know that

The equation that represent this problem is an inverse variation

`175(60)=150(x)`

as the number of men decreases the number of days increases

solve for x

`x=175(60)/150=70\ days`

using proportion

`(175)/(60)=(150)/(x)\\\\x=150(60)/175\\\\x=70\ days`