a group of 120 men had provisions for 200 days after 5 days, 30 men died due to an epidemic how long will the remaining food last
Answers
Step-by-step explanation:
=》Lets assume required food per person per day=x
=》Food for 120 people for 1 day=120x
=》Total available food=120x*200(food available for 200 days for 120 people)
=》Total food =24000x
=》Food consumed in 5 days=120x*5=600x
=》Food left after 5 days=24000x-600x=23400x
=》As 30 people died after 5 days, remaining people 90
=》Food required for 90 people for day =90x
=》No of days food can be consumed for 90
=》people=food left/food consumption per day
=》23400x/90x
=》260
=》So the remaining food will be last for another 260 days.
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Answer: 260 days.
Step-by-step explanation:
(a)Let's assume that required food per person every day=y
Food for 120 people in 1 day=120y
Total food available for 200 days for 120 people=(120y) x 200.=24000y.
(b)Now, food consumed in 5 days=120x*5=600y
Food left after 5 days=24000x-600x=23400y
(c)As 30 people died after 5 days, the remaining people are 90.
Food required for 90 people for a day =90y
(d)The number of days food can be consumed by 90 people=
food left/food consumption per day
=23400y/90y
=260
So the remaining food will be last for another 260 days for the 90 people who were left and didn't die.
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