SOLUTION: I need help on this problem? Mr and Mrs Chan decided to share $120 equally between their children. When the eldest got a holiday job, he divided his share equally between all h

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Question 482009: I need help on this problem?
Mr and Mrs Chan decided to share $120 equally between their children. When the eldest got a holiday job, he divided his share equally between all his brothers and sisters. If each child was given an extra $4, how many children are there in the Chan family?
Thanks.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
[(120 / c)] / (c - 1) = 4

120 / c = 4c - 4

30 = c^2 - c

0 = c^2 - c - 30 ___ 0 = (c - 6)(c + 5)

c - 6 = 0 ___ c = 6