Question

$500$ soldiers in a fort had enough food for $30$ days. After $6$ days some soldiers were sent to another fort and thus food lasted $32$ more days. How many soldiers were left the fort?

Answer 1

Total food for $500$ soldiers $=500\times 30$ $=15000$ food supplies

Food for 500 soldiers for 6 days $=500\times 6=3000$ food supplies

Remaining Food after some soldiers left $=15000$ food supply $-3000$ food supply

$=12000$ food supply will last for $32$ days

Number of soldiers in the fort ( after some left) $=\frac{12000\text{food supply}}{32\text{days}}=375$ soldiers

Number of soldiers who left the fort $=500-375=125$ soldiers