document.write( "Question 335688: A wire 180 centimeters long is to be cut into three pieces. The length of one piece is three times the length of the second. The length of the third piece is 12 centimeters shorter than twice the length of the second. Find the length of each piece. Thank you for your help!!! \n" ); document.write( "
Algebra.Com's Answer #240672 by stanbon(75887)\"\" \"About 
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A wire 180 centimeters long is to be cut into three pieces. The length of one piece is three times the length of the second. The length of the third piece is 12 centimeters shorter than twice the length of the second. Find the length of each piece.
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\n" ); document.write( "Equations:
\n" ); document.write( "x + y + z = 180 cm
\n" ); document.write( "x = 3y
\n" ); document.write( "z = 2y-12
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\n" ); document.write( "Substitute for \"x\" and for \"z\" and solve for \"y\":
\n" ); document.write( "3y + y + 2y-12 = 180
\n" ); document.write( "6y = 192
\n" ); document.write( "y = 32 cm (the 2nd piece)
\n" ); document.write( "x = 3y = 3*32 = 96 cm (1st piece)
\n" ); document.write( "z = 2y-12 = 2*32-12 = 52 cm (3rd piece)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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