A carpenter wants to cut an 18-foot 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

3 answers

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?
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