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 simplest form.(1 point)

Question

Responses

36 inches

74 2/5 inches

21 3/5 inches

60 inches

Answer 1

To solve this problem, we need to find the total amount of the board that was cut, and then subtract that from the original length of the board.

First, we need to find how much of the board was cut for the first project. The carpenter cuts 3/8 of the board, so we can find this by multiplying 96 by 3/8:

96 * 3/8 = 288/8 = 36 inches

Now, we need to find how much of the board is left after the first project. To do this, we can subtract the length of the cut from the original length of the board:

96 - 36 = 60 inches

For the second project, the carpenter cuts 2/5 of the remaining board. To find this, we can multiply the length of the remaining board by 2/5:

60 * 2/5 = 120/5 = 24 inches

Finally, we can find the total amount of board remaining by subtracting the length of the second cut from the length of the remaining board:

60 - 24 = 36 inches

Therefore, there are 36 inches of the 2 x 4 board left.