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

Answer:

70 days

Step-by-step 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

$\frac{175}{60}=\frac{150}{x}\\\\x=150(60)/175\\\\x=70\ days$