Question

a garrison of 800 men had provisions for 39 days. however a reinforcement of 500 men arrived. for how many days will the food last now

Answer 1

this can be solved by different form of unitary method.. see the attachment

Answer 2

"The food will last for 24 days if 500 men has arrived.

Given:

For 800 men = 39 days.

500 men are additionally added.

To find:

The number of days the food will last = ?

Solution:

It is in indirect variation,

$800\quad \times \quad 39\quad =\quad 1300\quad \times \quad x$

$\frac { 800\quad \times \quad 39 }{ 1300 } \quad =\quad x$

$\frac { 31200 }{ 1300 } \quad =\quad x$

$x\quad =\quad 24$"