SOLUTION: Word Problem: Joana and John sit 4ft and 5ft respectively from the fulcrum on one side of the seesaw. If John weighs 22lbs more than Joana, how heavy he be if their father,165lbs b

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Question 205476: Word Problem: Joana and John sit 4ft and 5ft respectively from the fulcrum on one side of the seesaw. If John weighs 22lbs more than Joana, how heavy he be if their father,165lbs balances the seesaw when he sit 8ft on the other side of the seesaw?
Please include the solution.
Thank you very much
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
since the seesaw is balanced, the moments (weight times "distance from fulcrum") are equal on both sides

let j="John's weight"

8 * 165 = (5 * j) + (4 * (j - 22))

1320 = 5j + 4j - 88

1408 = 9j

156 4/9 = j