1200 soldiers in a fort had enough food for 28 days.After 4 days,some soidiers were transferred to another fort and thus the food lasted for 32 days.How many soldiers left the fort?
Answers
Answer:
Proportional method
As the number of soldiers increases, the number of days the food lasts, will decrease. So number N of soldiers is inversely proportional to the number D of days. Hence, there were only 900 soldier after 4 days. So 1200 - 900 = 300 soldiers are transferred.
Answer:
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.
Step-by-step explanation:
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