A camp had provisions for 490 soldiers for 65 days after 15 days more soldiers arrived and the remaining professions lasted for 35 days how many soldiers joined the camp
Answers
Answer:
210 soldiers
after 15 days food consumed by 490 soldiers is for 50 days
x. no of soldiers join them
that is
490 + x
because of this food provision lasts for 35 days
the food consumed by a soldier is same thus the equation s
490 soldiers ---50 days
(490+x) soldiers -----35 days
490 * 50 = (490+x) * 35
24500 = 17150 + 35x
35x= 7350
x = 210
thus 210 soldiers joined the camp
please reply if u understood the answer
210 soldiers joined the camp.
Question :
A camp had provisions for 490 soldiers for 65 days. after 15 days more soldiers arrived and the remaining provisions lasted for 35 days. how many soldiers joined the camp?
Answer :
Given :
A camp had provisions for 490 soldiers for 65 days
More soldiers arrived after 15days
Provisions lasted for 35days.
To find :
The number of soldiers who joined the camp
Solution :
Let the food for one soldier for one day be x.
Total provision = 490 x 65 x x
=31850x
Provisions consumed for 15days = 490 x 15 x x
= 7350x
Provisions left = 31850x - 7350x
=24500x
It is said that 24500x provisions lasted for 35 days
Food for one person for 35 days = 35x x = 35x
Therefore no. Of people who consumed 24500x provisions = 24500x/35x
=700
Therefore no. Of soldiers who joined the camp = (700-490)
=210
Hence, 210 soldiers joined the camp.
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