A board of length L feet is cut into two pieces such that the length of piece A is 2 feet less than three times the length of piece B. Which of the following is the length, in feet, of piece A? Choose the correct answer
A) (L - 2)/4  B) (3L - 2)/4  C) (L + 2)/3  D) (3L + 2)/3  E) (2L - 1)/4
A+B = L so we know that B = L - A.   A = 3(3L - 2)/4-2   A = 3(L-A) - 2   4A = 3L - 2   A = (3L-2) / 4   The answer is (3L - 2)/4.
<result>B</result>
A board of length L feet is cut into two pieces such that the length of piece A is 2 feet less than three times the length of piece B. Which of the following is the length, in feet, of piece A?