A board of length L feet is cut into two pieces such that the length of piece A is 2 feet less than ...

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?

Quiz

Answer/Solution

(3L - 2)/4

Steps/Work

A+B = L so we know that B = L - A.
A = 3B-2
A = 3(L-A) - 2
4A = 3L - 2
A = (3L-2) / 4
The answer is B.