Answer:
Each day, [tex]18[/tex] tours are offered.
Step-by-step explanation:
We were given that, the museum starts at,
10:00 AM and closes at 4:00 PM.
The total duration is [tex]4:00PM-10:00AM=16:00GMT-10:00GMT=6hours[/tex]
Since the tour of the museum are offered every [tex]\frac{1}{3}[/tex] hour each day, we can calculate the number of tours that will be offered within the 6 hours as follows
[tex]Number\:of\:tours=\frac{6}{\frac{1}{3} }[/tex]
We rewrite to obtain,
[tex]Number\:of\:tours=6\div \frac{1}{3}[/tex]
We multiply by the reciprocal of the second fraction to get,
[tex]Number\:of\:tours=6\div \frac{3}{1}=18[/tex]
Therefore 18 tours will be offered each day in the art museum.