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A carpenter has 96 inches of a 2 x 4 board. He cuts 38 of the board for one project and then cuts 25 of the remainder for anoth...Asked by lizzy
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)
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GPT 3.5
The carpenter cuts 3/8 of the board, leaving 1 - 3/8 = 5/8 of the board.
He then cuts 2/5 of 5/8, leaving 5/8 - (2/5)(5/8) = 5/8 - 1/4 = 5/8 - 2/8 = 3/8 of the board left.
There are 96 inches in the 2 x 4 board, so 3/8 of the board is equal to 3/8 * 96 = <<3/8*96=36>>36 inches. Answer: \boxed{36}.
He then cuts 2/5 of 5/8, leaving 5/8 - (2/5)(5/8) = 5/8 - 1/4 = 5/8 - 2/8 = 3/8 of the board left.
There are 96 inches in the 2 x 4 board, so 3/8 of the board is equal to 3/8 * 96 = <<3/8*96=36>>36 inches. Answer: \boxed{36}.
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