Question

A camp having 100 soldiers has food sufficient to last for 66 days. How many soldiers should leave 14 days to ensure that the food lasts for another 80 days?
A) 16
B) 20
C) 24
D) 35

Answer 1

Answer:

35

Step-by-step explanation:

Given A camp having 100 soldiers has food sufficient to last for 66 days. How many soldiers should leave 14 days to ensure that the food lasts for another 80 days?

Let x be number of soldiers after 14 days

Total after 14 days = 100 + x

So for 80 days it is (100 + x) .

 100 : (100 + x) : : 80 : 52

  (100 + x)80 = 100 x 52

   8000 + 80 x = 5200

       80 x = 5200 - 8000

         80 x = - 2800

           x = 2800 / 80

            x = 35