document.write( "Question 13399: A stick is 152 centimeters along and it is cut up into 6 piece. There are 4 short pieces, all of which are the same length. There are 2 longer pieces that are equal length. A long piece is 10 centimeters longer than the shorter piece. How long is one short piece? How long is one long piece? \n" ); document.write( "
Algebra.Com's Answer #6766 by askmemath(368)![]() ![]() ![]() You can put this solution on YOUR website! Let the length of the shorter piece = X \n" ); document.write( "Then length of the longer = X+10\r \n" ); document.write( "\n" ); document.write( "There are 4 short pieces. Therefore total length = 4X \n" ); document.write( "2 long pieces therefore total length = 2(X+10) = 2X + 20\r \n" ); document.write( "\n" ); document.write( "So total = 4X + 2X + 20 = 152\r \n" ); document.write( "\n" ); document.write( "6X = 152-20 \n" ); document.write( "6X = 132\r \n" ); document.write( "\n" ); document.write( "Dividing by X throughout \n" ); document.write( "X = 22 which is the length of the short piece \n" ); document.write( "So length of the long piece = 22+10 = 32cms \n" ); document.write( " |