A section of a boardwalk is made using 15 boards. Each board is 9.25 inches wide. The total width of the section is 144 inches. The spacing between each board is equal. What is the width of the spacing between each board?
15 boards means 14 spaces between. So, if each space is x, we have
15*9.25 + 14x = 144
To find the width of the spacing between each board, we need to subtract the total width of the boards from the total width of the section.
The total width of the boards can be found by multiplying the number of boards (15) by the width of each board (9.25 inches):
Total width of the boards = 15 boards × 9.25 inches/board = 138.75 inches.
Now, we can find the width of the spacing:
Width of the spacing = Total width of the section - Total width of the boards.
Width of the spacing = 144 inches - 138.75 inches = 5.25 inches.
Therefore, the width of the spacing between each board is 5.25 inches.