Question

1500 soldiers in a Fort had provision for 48 days after 13 days to soldiers join them and then the food last for 25 days how much many soldiers join​

Answer 1

Answer:

The number of soldiers joining in is 600

Step-by-step explanation:

(The problem is not very clearly worded. I am assuming that after 13 days, "some" number of soldiers joined. The problem states "to soldiers join", which is unclear.)

FIrstly, 1500 soldiers had provision for 48 days. Hence, the total provision is worth 1500 * 48 = 72000 soldier-days. (Let us refer to this as mandays)

The total provision is worth 72000 mandays.

Now, let "x" be the number of soldiers that join in after 13 days.

This means that for 13 days, 1500 soldiers consumed provisions. The amount of provision consumed by 1500 soldiers for 13 days would be:

1500*13 = 19500 mandays.

After 13 days, the total provision that remains = 72000 - 19500

                                                                             = 52500

This provision of 52500 mandays was consumed by (1500+x) soldiers for 25 days. (as given in the problem)

Thus:

(1500 + x) * 25 = 52500

1500*25 + 25x = 52500

37500 + 25x = 52500

25x = 52500 - 37500

25x = 15000

x = 600

Verification:

For 13 days, there were 1500 soldiers and they consumed 1500*13 = 19500 mandays worth of provisions.

For the next 25 days, there were (1500+600 = 2100) soldiers and they consumed 2100*25 = 52500 worth of provisions.

Total provision consumed is worth = 19500+52500=72000 mandays. This is the total worth of provision that the soldiers had (1500*48 = 72000)