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Question 12 Direct and Inverse Variation Exercise 9.2

**1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were sent to another fort, and thus, the food lasted for 32 more days. How many soldiers left the fort?**

Answer:

Given:

1200 soldiers in a fort had enough food for 28 days.

So, the total number of days = 28

Days spent = 4 days

Number of days left = 28 – 4 = 24

Number of soldiers = 1200

and the food lasted for = 32 days

In 24 days, the food is sufficient for = 1200 soldiers

In 1 day, the food will be sufficient for = 1200 × 24

In 32 days, the food will be sufficient for = (1200 × 24) = 900 persons

∴ Number of soldiers sent to another fort = 1200 – 900 = 300 persons

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