SOLUTION: A father shares $120 equally to his children. One of the children gives their share away equally to each of the siblings, at $4.00 each. How many children were there?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A father shares $120 equally to his children. One of the children gives their share away equally to each of the siblings, at $4.00 each. How many children were there?      Log On


   

Question 991548: A father shares $120 equally to his children. One of the children gives their share away equally to each of the siblings, at $4.00 each. How many children were there?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Assume there are N children.
Then the father gave each child, 120%2FN.
The one child gives away his share to the remaining N-1 children.
%28120%2FN%29%2F%28N-1%29=4
120=4N%28N-1%29
N%28N-1%29=30
N%5E2-N-30=0
%28N-6%29%28N%2B5%29=0
Only the positive solution makes sense in this problem.
N-6=0%7D%7D%0D%0A%7B%7B%7BN=6
Originally there are 6 children, the father gives them $20 each.
The one child gives away his $20 to the other 5 children so they get $4 each.