document.write( "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.
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Algebra.Com's Answer #118539 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! \"Jones and Smith together weigh 340 pounds\" __ J+S=340 __ J=340-S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"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\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when they balance, the products of their weights and distances from the fulcrum are equal __ 5J=6S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substituting __ 5(340-S)=6S __ 1700-5S=6S __ 1700=11S __ 1700/11=S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substituting __ J=340-(1700/11) __ J=2040/11 \n" ); document.write( " |