document.write( "Question 329544: Question: Suppose five bales of hay are weighed two at a time in all possible ways. The weights in pounds are 110, 112, 113, 114, 115, 116, 117, 118, 120, and 121. How much does each bale weigh?
\n" ); document.write( "Is this an average question? I don't think that it is but I can't figure how to set this up.
\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #236237 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
from lightest to heaviest , let the bales be a , b , c , d , and e\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a + c = 112 ___ a = 112 - c\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the two lightest ___ a + b = 110 ___ b = 110 - a = c - 2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "c + e = 120 ___ e = 120 - c\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the two heaviest ___ d + e = 121 ___ d = 121 - e = c + 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "each bale is weighed twice ___ a + b + c + d + e = (110 + 112 + 113 + 114 + 115 + 116 + 117 + 118 + 120 + 121) / 2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "substitute to find c , then substitute back to find the others
\n" ); document.write( "
\n" );