document.write( "Question 942554: A carpenter used 44 ft of molding in three pieces to trim a garage door. if the long piece was 4 ft longer than three times the length of each shorter piece, then how long was each piece? \n" ); document.write( "
Algebra.Com's Answer #574608 by macston(5194)![]() ![]() You can put this solution on YOUR website! shorter pieces: length=L \n" ); document.write( "longer piece: 3L+4 ft \n" ); document.write( "total length=44 ft=2short pieces (2L)+ long piece(3L+4) \n" ); document.write( "44 ft=2L+3L+4=5L+4 subtract 4 from each side \n" ); document.write( "44-4 ft=5L+4-4 \n" ); document.write( "40 ft=5L divide each side by 5 \n" ); document.write( "40/5 ft=5L/5 \n" ); document.write( "8 ft=L The shorter pieces are 8 ft long \n" ); document.write( "3L+4=3(8)+4=28 ft The longer piece is 28 ft \n" ); document.write( "CHECK: \n" ); document.write( "Short + short + long= 44 ft \n" ); document.write( "8 ft + 8 ft + 28 ft=44 ft \n" ); document.write( "44 ft=44 ft \n" ); document.write( " |