Math
posted by Amy on .
A carpenter wants to cut an 18foot board into two pieces so that one piece is 3 feet shorter than twice the shorter piece. Where should he make the cut?
? ft from one end

L = length of board piece
a = length of first piece
b = length of second ( shorter ) piece
a = 2 b  3
L = 18 = a + b = 2 b  3 + b = 3 b  3
3 b  3 = 18 Add 3 to both sides
3 b  3 + 3 = 18 + 3
3 b = 21 Divide both sides by 3
3 b / 3 = 21 / 3
b = 7 ft
a = 2 b  3
a = 2 * 7  3 = 14  3 = 11 ft 
a carpenter cut a 3 meter board into four pieces of equal length . how
many centimeters long was each piece? 
i need help with my homework