Question

500 soldiers in a Fort had enough food to last for 30 days.How long the food would last if there were hundred more soldiers?

Answer 1

There's enough food for 500 soldiers for 30 days.

Say that each soldier has a unit of food a day,

so there are 500 units for 1 day and 500*30=15000 units over the 30 days (remember this value). 

500*6=3000 units are used by the time some soldiers leave, leaving a total of 15000-3000=12000 units. 

Now we know that x units are used a day, and there are 32 more days left (because it tells us). You can make the following formula with this: 

Number of soldier*days the food will last=units of food 

x*32=12000 

Then just rearrange this: 

x=12000/32=375 soldiers left in the fort. So 125 soldier had left.

Answer 2

It will finished in 30 day