Question

A Garrison of 400 men had provisions per 30 days. with the arrival of some more men, the provision lasted for 24 days. how many more men arrived in the Garrison.​

Answer 1

Given,

A garrison of $400$ men had provisions per $30$ days.

The provision lasted for $24$ days

We have to find how many more mem arrived.

For we use the formula given below.

Formula:

$M_{1} D_{1} =M_{2} D_{2}$

Here,

$M_{1} =400$

$D_{1} =30$

$M_{2} =?$

$D_{2} =24$

Now we have to find the value of $M_{2}$

$400\times 30=M_{2} \times24$

$1200=M_{2} \times24$

$M_{2} =\frac{1200}{24}$

$M_{2}=500$

Therefore, $500$ more men arrived in the garrison.