Door for the small cabinet are 11.5 inches long. Door for the large cabinet are 2.3 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?

So if you take the small cabinet door length which is 11.5 inches long and multiply by a factor of 2.3 you get the total length of the large cabinet doors, which is 26.45 inches. So you're asked how many times will 26.45 inches go into 10 feet or 120 inches. 120 divided by 26.45 is about 4.5. So 4 large doors can be cut from a 10 foot long board.