an elevator has a weight limit of 630 kg. it is carrying a group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg. what is the maximum possible number of people in the group?
Answers
Maximum weight = 630kg
Average weight = 57+53/2 = 55
Maximum people can take = 630/55 =11
Answer:
The Maximum possible number of people in the group is 11
Step-by-step explanation:
Given ,
Weight limit of elevator = 630 kg
Weight of heaviest person in the lift = 57 kg
Weight of lightest person in the lift = 53 kg
To get the maximum number of people in the lift, we will take the people who have the minimum weight
Now , let us suppose there are ' n ' people of 53 kg weight.
So,
The total number of people in the lift
= 53 + 53(n) + 57 <= 630
n <= (520/53)
n <= 9.8
Since, the number of people cannot be in decimal so we will take
n = 9 [ we have not taken it as 10 because in that case total weight that lift can allow will exceed]
Finally the maximum number of people in lift
= person with 53 kg + person with 57 kg + n
= 1 + 1 + 9
= 11
Hence,
The Maximum possible number of people in the group is 11