in a fort there are 800 soliders and they having 100 days food provision. after 40 days 400 soliders left the fort. in how many days the whole food will finish?
Answers
Answer:
120 days
Step-by-step explanation:
total soldiers= 800
soliders left the fort= 400
remained soldiers= 800-400=400
total days 100
remaining days 100-40=60
Suppose needed days= x
Ratio
days : soldiers
60 :800
X: 400
x/60=800/400
x= 2*60
x=120
Total number of soldiers in the fort = 800 soldiers
Total number of days food provision = 100 days
Number of soldiers left the fort = 400 soldiers
Remaining soldiers in the fort = 400 soldiers
Number of days food used by 800 soldiers = 40 days
Remaining number of days food provision = 60 days
Quantity of food = 800 × 100
=80,000 soldiers- day
Quantity of food Consume = 800 × 40
=32,000 soldiers- day
Remaining quantity of food = 80,000 - 32,000
= 48,000 soldiers- day
Let the remaining food will sufficient for x days.
now,
32,000 + 400x = 80,000
400x = 80,000 - 32,000
400x = 48,000
x = 48,000 ÷ 400
x = 120
In 120 days the whole food will finished.
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