document.write( "Question 726692: A 36 foot section of a log is cut into three pieces. The second piece is twice the length of the first and the third piece is equal to the length of the first two pieces. How long (in feet) is the longest section? \n" ); document.write( "
Algebra.Com's Answer #444731 by mbmodak(32)\"\" \"About 
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Let first piece in length=x ft ---(1)
\n" ); document.write( "second piece is twice the length of first piece
\n" ); document.write( "second piece=2*x ft ---(2)
\n" ); document.write( "third piece is equal to length of L(leng of 1st) + L(length of 2 nd)
\n" ); document.write( "third piece=x+2x=3x ---(3)
\n" ); document.write( "Total length of 3 pieces is 36 ft
\n" ); document.write( "Adding(1)+(2)+(3)
\n" ); document.write( "Total length=x+2x+3x
\n" ); document.write( "x+2x+3x=36
\n" ); document.write( "6x=36
\n" ); document.write( "x=36/6=6
\n" ); document.write( "1st piece=6f 2nd piece=6*2=12 ft third piece=3*6=18 (total=6+12+18=36)
\n" ); document.write( "Longest piece=18
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