A group of 500 soldiers has provision for 30 days. How long would the provision last for 600 soldiers
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Answer:
yes 500 soldiers is best
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Step-by-step explanation:
There is enough food for 500 soldiers for 30 days. Say that each soldier has one unit of food a day. So there are 500 units for one day and 500 × 30 = 15000 units for the 30 days. So as per the question after 6 days some soldiers left the fort, it means 500 × 6 = 3000 units are consumed by the time some soldiers left. Total unit left = 15000 - 3000 = 12000 units. Now we know that x units are consumed a day, and the food lasted for 32 days more. so the following formula is used to solve this problem.
Number of soldiers left × Days of food will last = Unit of left
x × 32 = 12000
x = 12000 ÷ 32
x = 375
375 soldiers left in the fort.
500 - 375 = 125 soldiers had left the fort.
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