Answer: Therefore, the art museum offers 18 tours each day.
Step-by-step explanation: The art museum offers tours every 1/3 hour starting at 10 A.M. and closes at 4:00 P.M. To determine how many tours are offered each day, we need to find the total number of 1/3 hour intervals between 10 A.M. and 4:00 P.M.
First, we need to convert the closing time to the same format as the starting time. Since there are 60 minutes in an hour, we can write 4:00 P.M. as 16:00.
Next, we calculate the number of hours between the starting and closing times by subtracting 10 from 16, which gives us 6 hours.
Since there are 3 intervals in each hour, we multiply the number of hours by 3 to find the total number of 1/3-hour intervals. In this case, 6 hours multiplied by 3 equals 18 intervals.
Therefore, the art museum offers 18 tours each day.