Question

A3.
An army camp has food for 330 soldiers for
90 days. After 20 days, 20 more soldiers join the
camp. How many days will the remaining food
last?​

Answer 1

Answer:

66 days

Step-by-step explanation:

Let us assume that one soldier eats 'n' units of food in a day.

Then, 330 soldiers will eat 330 x n times per day.

330 soldiers in 90 days will eat = 330 soldiers x 90 days x n = 29,700 n units of food

Total Food left after 20 days= 29700 n - (330 x 20 x n)

                                               = 23,100 n

Now, for next 70 days there are 20 more soldiers i.e. 330+20=350 solders

Amount of food these soldiers will eat in a day = 350 n

Number of days the food will last = 23,100 n / 350 n = 66 days