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in Commercial Mathematics by (36.4k points)
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1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort?

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Let the number of soldiers transferred to another fort be x

After four days number of soldiers left in the fort = 1200 – x

And for remaining soldiers (1200 – x ) the food lasted for 32 more days

Time(days) 24 32
No of soldiers 1200 1200 - x

24 x 1200 = 32(1200 - x)

32 x 1200 - 32x = 24 x 1200

38400 - 32x = 28800

- 32x = 28800 - 38400

- 32x = - 9600

x = \(\frac{9600}{32}\) = 300

Therefore 300 soldiers left for another fort.

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