7. A camp has enough food for 80 people to last for 50 days. After 10 days,
some people left the camp and the food lasted for an additional 160 days. How many people left the camp?
Answers
Answer:
Let us say that a soldier eats 'n' units of food in a day.
Total ration available = 100 soldiers * 10 days * n = 1000n
In 2 days, 100 soldiers would consume = 100n*2 = 200n
Remaining food = 1000n - 200n = 800n
Number of soldiers = 100 + 60 = 160
Amount of food these soldiers will eat in a day = 160n
Number of days the food will last = 800n / 160n = 5 days
Step-by-step explanation:
Given :-
A camp has enough food for 80 people to last for 50 days. After 10 days, some people left the camp and the food lasted for an additional 160 days.
To find:-
How many people left the camp?
Solution:-
Given that
A camp ha enough food for 80 people to last for 50 days
Number of people = 80
Number of days = 50
Total food to be consumed = 80×50 = 4000
After 10 days ,
The consumed food for 80 people
= 10×80=800
Remaining food to be consumed
= 4000-800 = 3200
Let the number of people left the camp be X
Remaining men = 80-X
number of days = 160
Total food = 160(80-X)
160(80-X) = 3200
=> 80-X = 3200/160
=> 80-X = 20
=> X = 80-20
=> X = 60
People left = 60
Answer:-
The number of people left the camp is 60