A carpenter has 96 inches of a 2 x 4 board. He cuts 3/8 of the board for one project and then cuts 2/5 of the remainder for another project. How many inches of the 2 x 4 board are left? express the answer in the simplest form.

60 inches
or
74 2/5 inches
or
36 inches
or
21 3/5 inches

1 answer

The carpenter cuts 3/8 of the board, which is (3/8) * 96 inches = 36 inches.
The remainder of the board is 96 inches - 36 inches = 60 inches.
He then cuts 2/5 of the remainder, which is (2/5) * 60 inches = 24 inches.
The final length of the board is 60 inches - 24 inches = 36 inches.
Therefore, the answer is 36 inches.