Question

A garrison of 900 men had provision for 50 days after 8 days a reinforcement of 500 m men arrive for how many days will the food last now

Answer 1

the answer should be
no. of mens=900
provision=50
after =8
1 men =900*50
for 500 men =900*50/500=45000/500=90

Answer 2

Answer: The food will last in 35 days.

Explanation:

It is given that a garrison of 900 men had provision for 50 days after 8 days a reinforcement of 500 men arrive.

The total number of men is 900 and provision of food for 50 days.

$\text{Total food}=900\times 50=45,000$

The food consumed by 900 persons in 8 days is,

$900\times 8=7200$

The remaining food after 8 days is,

$45,000-7200=37,800$

After 8 days 500 men are arrived, so the total number of men are 1400.

Th the number of days in which 1400 men consume the food 37,800.

$\frac{37800}{1400}=27$

So the remaining food will finish in 27 days.

Total number of days is,

$8+27=35$

Therefore, the food will last in 35 days.