SOLUTION: Jones and Smith together weigh 340 pounds. Find their weights if they balance a lever when Jones sits 5 feet from its fulcrum on one side and Smith sits 6 feet from the fulcrum on

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Question 160778: Jones and Smith together weigh 340 pounds. Find their weights if they balance a lever when Jones sits 5 feet from its fulcrum on one side and Smith sits 6 feet from the fulcrum on the other side.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"Jones and Smith together weigh 340 pounds" __ J+S=340 __ J=340-S

"they balance a lever when Jones sits 5 feet from its fulcrum on one side and Smith sits 6 feet from the fulcrum on the other side"

when they balance, the products of their weights and distances from the fulcrum are equal __ 5J=6S

substituting __ 5(340-S)=6S __ 1700-5S=6S __ 1700=11S __ 1700/11=S

substituting __ J=340-(1700/11) __ J=2040/11