document.write( "Question 1146258: two men are just able to pry up a 375-pound weight with a crowbar when the fulcrum for this lever is 2 feet from the weight and the men exert their strengths at 3 feet and 5 feet, respectively, from the fulcrum. if the men interchange positions, they can can raise a 385-pound weight. what pressure does each man exert? \n" ); document.write( "
Algebra.Com's Answer #767571 by greenestamps(13200)\"\" \"About 
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The product of the forces and the distances from the fulcrum must be the same on both sides.

\n" ); document.write( "X 3 feet from the fulcrum and Y 5 feet; on the other side, 375 pounds at 2 feet:

\n" ); document.write( "\"3X%2B5Y+=+2%28375%29+=+750\"

\n" ); document.write( "X 5 feet from the fulcrum and Y 3 feet; on the other side, 385 pounds at 2 feet:

\n" ); document.write( "\"5X%2B3Y+=+2%28385%29+=+770\"

\n" ); document.write( "Subtract one equation from the other:

\n" ); document.write( "\"2X-2Y+=+20\"
\n" ); document.write( "\"X-Y+=+10\"
\n" ); document.write( "\"X+=+Y%2B10\"

\n" ); document.write( "Substitute in one of the original equations:

\n" ); document.write( "\"3%28Y%2B10%29%2B5Y+=+750\"
\n" ); document.write( "\"3Y%2B30%2B5y+=+750\"
\n" ); document.write( "\"8Y+=+720\"
\n" ); document.write( "\"Y+=+90\"

\n" ); document.write( "\"X+=+Y%2B10+=+100\"

\n" ); document.write( "ANSWERS: 90 pounds for Y and 100 pounds for X.
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