document.write( "Question 38982: 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. How far must their father, who weighs 188 lbs., sit from the fulcrum to balance his children?\r
\n" );
document.write( "\n" );
document.write( "(Not from a book) I got stumped on trying to put this equation together. Thank you for your help. \n" );
document.write( "
Algebra.Com's Answer #382650 by MaxW(2)![]() ![]() ![]() You can put this solution on YOUR website! using the equation d1(w1) = d2(w2)\r \n" ); document.write( "\n" ); document.write( "Joe = 40 lbs(8) \n" ); document.write( "Jane = 70 lbs(5) \n" ); document.write( "Bill = 90 lbs(3) \n" ); document.write( "Father = 188 lbs(x)\r \n" ); document.write( "\n" ); document.write( "Therefore \n" ); document.write( "40(8) + 70(5) + 90(3) = 188(x) \n" ); document.write( "320 + 350 + 270 = 188x \n" ); document.write( "940 = 188x divide both side by 188 \n" ); document.write( "x = 5\r \n" ); document.write( "\n" ); document.write( "Joe, Jane and Bill's father must seat 5ft from the fulcrum. \n" ); document.write( " |