Question

There were 1200 soldiers in a camp . They need to stand in a square pattern to do March Past on Independence day parade. But it was found that more soldiers were needed to complete the pattern.Find that number showing the proper calculation

Answer 1

ǫᴜᴇsᴛɪᴏɴ →

There were 1200 soldiers in a camp . They need to stand in a square pattern to do March Past on Independence day parade. But it was found that more soldiers were needed to complete the pattern.Find that number showing the proper calculation

ᴀɴsᴡᴇʀ →

Hint – In this question assume the number of soldiers which left after 4 days to be a variable. As they were sent to another fort after 4 days so they must have eaten for 4 days thus the ration left will be of (28-4) days and after some of soldiers were sent to other fort ,the food lasted for 32 days So as we see that when the number of soldiers decreases, the food would last for more days thus there is an inverse variation between soldiers and number of days.Formulate an equation involving variables and get the answer.

Let the number of soldiers sent to another fort after 4 days be x soldiers.

Now 1200 soldiers had enough food for 28 days.

The number of soldiers who were sent to another fort lasted for 4 days in this fort.

So the number of days left for enough food = (28 – 4) = 24 days.

So 1200 soldiers had enough food for 24 days after the 4 days.

Therefore 1200 soldiers = 24 days.

Now when (x) soldiers sent to another fort after 4 days the food left for another 32 days

Therefore (1200 – x) soldiers = 32 days.

So as we see that when the number of soldiers decreases, the food would last for more days thus there is an inverse variation between soldiers and number of days.

Therefore we get,