1200 soldiers had enough food for 28 days. After 4 days, some soldiers were transferred to another fort. As a result, the food now lasted for 32 more days. How many soldiers were transferred to another fort?

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Solution

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.
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