SOLUTION: The average weight of a group of 10 people increases by 1 kg when one of them weighing 58kgs is replaced by a new person. The weight of the new person is :

Question 585809: The average weight of a group of 10 people increases by 1 kg when one of
them weighing 58kgs is replaced by a new person. The weight of the new
person is :
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The average weight of a group of 10 people increases by 1 kg when one of
them weighing 58kgs is replaced by a new person.
The weight of the new person is:
:
Let x = the total weight of the 9 people that remain the same
Let y = weight of the new person
:
New group av - Old group av = 1
- = 1
mult by 10, gets rid of the denominators
(x + y) - (x + 58) = 10
Remove the brackets
x + y - x - 58 = 10
x - x + y = 10 + 58
y = 68 lb is the weight of the new guy
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