SOLUTION: George weighs 60 lbs. more than 1/2 his younger brother Galen's weight. If their weights balance when George is 4 ft. from the fulcrum on a 10 ft. long teeterboard, what are their

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Question 39138: George weighs 60 lbs. more than 1/2 his younger brother Galen's weight. If their weights balance when George is 4 ft. from the fulcrum on a 10 ft. long teeterboard, what are their weights?
(not from a text) I need help on this please, Thank you.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If the teeterboard is 10 feet, then the brother is assumed to be 5 ft from the fulcrum...George is 4 ft from it...
Let x = the brother's weight.
The 60 + (1/2)x is George's weight.
Since they balance, we have
5x = 4(60 + (1/2)x)
5x = 240 + 2x
3x = 240
x = 80 and brother's weight
George weighs 60 + (1/2)(80) = 100 lbs...