Final answer:
To find out how many large doors can be cut from a 10 ft board, divide the length of the board by the length of the large doors.
Step-by-step explanation:
To find out how many large doors can be cut from a board that is 10 ft long, we first need to determine the length of the large doors. The problem tells us that the doors for the large cabinets are 2.5 times as long as the doors for the small cabinets, which are 15.5 inches long. Therefore, the length of the large doors would be 2.5 * 15.5 = 38.75 inches long.
To convert inches to feet, we divide by 12. So, the length of the large doors in feet would be 38.75 / 12 = 3.22917 feet.
To calculate how many large doors can be cut from a 10 ft board, we divide the length of the board by the length of the large doors: 10 / 3.22917 = 3.09584.
Therefore, we can cut approximately 3 large doors from a 10 ft board.