Question

DIRECT AND INVERSE VARIATION

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?

Answer 1

$\bold{\red{\underline{Hey mate!!}}}$

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✴DIRECT AND INVERSE PROPORTION✴
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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.

Arter 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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✴THANKS FOR THE QUESTION✴
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Answer 2

❤❤Here is your answer ✌ ✌

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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 =1200-x

the food lasted now for 32 more days

1200×24=(1200-x)32
28800=38400-32x
32x=38400-28800
32x=9600
x=300