A hotel has 15 floors, with at least 25 persons on each floor! If there were at least 14 persons on each floor and the number of persons on any floor is not equal, then how many people can live on one floor?
Answers
Answer:
88
Step-by-step explanation:
No of floors - 15
Average no of people on each floor - 25
Total no of people - 375
Minimum people on each floor - 14
To have maximum no of people on 1 of the floor, we need to have minimum possible number on all other 14 floors and each floor has different no of people. So, no of people on these 14 floors = 14+15+16+17+18+19+20+21+22+23+24+25+26+27 = 287
Maximum no of people on a floor = Total no of people - minimum no of people on 14 floor = 375 - 287 = 88
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Answer:
Total persons = 15 x 25 = 375
If minimum n is a minimum no of persons staying on a floor
n+(n+1)+(n+2)+...+(n+14)=375
15n +105=375
n = 270/15= 18
but lowest no is 14, so deducting 4 persons from 14 floors & adding in n+14 →> n + 14 + (14x4)
= 18+14+56
= 88
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