A high school is selling tickets to a talent show to be held
in an auditorium that seats, at a maximum, 150 people.
Exactly one-fifth of the tickets were sold on the first day
they were on sale, and exactly one-eighth of the tickets
were sold on the day of the talent show. The school did
not count how many tickets were sold, but they know it
was at least 100. How many tickets were sold in total?