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?