1200 soldier in a fort had enough food for 28 days after 4 days some soldier were sent to another fort and thus the food lasted for 32more days.how many soldier left the fort
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Given that 1200 soldiers in a fort had enough food for 28 days
Let the number of soldiers transferred to another fort be x
After 4 days, number of soldiers = (1200 – x)
Given that food lasted for 32 more days.
Hence 1200 × 24 = (1200 – x) × 32
⇒ (1200 – x) = 900
⇒ x = 1200 – 900 = 300
Thus 300 soldiers were transferred to another fort.
Let the number of soldiers transferred to another fort be x
After 4 days, number of soldiers = (1200 – x)
Given that food lasted for 32 more days.
Hence 1200 × 24 = (1200 – x) × 32
⇒ (1200 – x) = 900
⇒ x = 1200 – 900 = 300
Thus 300 soldiers were transferred to another fort.
Answered by
1
Answer:
300 soldiers left the fort.
Step-by-step explanation: let the no. of soldiers left the fort be x
now, no. of soldiers with provision for 28 days=1200
after 4 days,
remaining days=28-4=24
after transferring soldiers, food lasted = 32 days
hence 1200*24=(1200-x)*32
1200-x=1200*24/32
1200-x=900
x= 1200-900
x= 300
hence 300 soldiers left the fort.
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