How far must their father, who weighs 188 lbs., sit from the fulcrum to balance his children?

Question

Joe, Jane, and Bill weigh 40, 70, and 90 lbs. respectively and use a plank 15 ft. long for a teeterboard. Bill sits 3 ft., Jane 5 ft., and Joe 8 ft. from the fulcrum, on the same side.

Answer 1

(bill x 3) + (Jane x 5) + (Joe x 8) = father  x  D

   [{90}{3}] + [{70}{5}]]  + [{40}{8}]  = 188 D

     270 + 350 + 320 =188D

     D = 940/188 = 5 feet

  father sits 5 feet from the fulcrum

the correct answer for you previous question

was George 90 lb  Gallen 60 lb

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