Question

in an army camp there are 320 soldiers. they have sufficient food for 80 days. if after 20 days, 20 soldiers left the camp, for how many more days will the food last?

Answer 1

80days → 320 soldiers
.˙. (80-20)=60 days → (320/80)*60= 240soldiers

But remaining soldiers after 20 days = 320-20= 300
240 soldiers → 60 days
300 soldiers → (60/240)*300= 48days

Answer 2

Answer:

For 64 days will the food last.

Step-by-step explanation:

Given : In an army camp there are 320 soldiers. They have sufficient food for 80 days. If after 20 days, 20 soldiers left the camp.

To find : How many more days will the food last?

Solution :

They have sufficient food for 320 soldiers for 80 days.

So, There are $320\times 80=25600$ man-days of food available.

After 20 days 320 soldiers have consumed $320\times 20=6400$ man-days of food.

So, Man-days remain are 25600-6400= 19200

But 20 soldiers left from 320=300 soldiers left.

Let x be the number of days the food will last now.

Now, $300x=19200$

$x=\frac{19200}{300}$

$x=64$

Therefore, For 64 days will the food last.