A carpenter cut a board that is 144 inches long. He cut pieces 32 inches long. How many pieces did he get and how much of the board was left?
144/32 = 4 R16 = 4 Thirty-two inch pieces with 16 inches left.
To find out how many pieces the carpenter got, we need to divide the length of the board by the length of each piece.
First, let's determine the number of pieces:
Number of pieces = length of the board ÷ length of each piece
Number of pieces = 144 inches ÷ 32 inches
To calculate this, we divide 144 by 32: 144 ÷ 32 = 4.5.
However, since the carpenter cannot have half of a piece, we can conclude that he got 4 pieces.
To find out how much of the board was left, we need to subtract the total length of the cut pieces from the length of the board.
Length of board left = length of the board - (length of each piece × number of pieces)
Length of board left = 144 inches - (32 inches × 4)
To calculate this, first multiply 32 by 4: 32 × 4 = 128 inches.
Then, subtract 128 from 144: 144 - 128 = 16 inches.
Therefore, the carpenter got 4 pieces of 32 inches each, and there were 16 inches of the board left.