Question

A fort has enough food per 720 soldiers for 35 days. if after 5 days 120 soldier leave the fort how long will the food last now​

Answer 1

Answer:

Step-by-step explanation:

No. of soldiers   720          600                 (... 720 soldiers were in the fort. After  

No. of days         30             y                               5 days they left )

Inverse proportion

720 x 30 = 600 x y

y = 720 x 30

       600

= 36

Food will last 36 days more.

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Answer 2

Given: (I)The total food is available for 720 soldiers for 35 days    

           (II)after 5 days 120 soldiers leave the fort

To Find: How long will the food last after 120 soldiers leave

Solution:  Let Food of one soldier for one day be  $x$

So, Total food available at the fort = $x$ X 720 X 35

for 5 days 720 soldiers take the food = $x$ X 720 X 5

Let the food last for $y$ days after 120 soldiers leave

So, remaining food =  $x$ X (720-120) X $y$

so equating total food

$x$ X 720 X 35 = $x$ X 720 X 5  +  $x$ X (720-120) X $y$, (cancelling common term x )

25200 = 3600 + 600y

21600 = 600y

36 = y

⇒ y = 36 days, so the food will last for 36 days now.