At a dinner party with an equal number of adults and children, adults are seated at tables of exactly 15 and children are seated at tables of exactly 17. What is the minimum number of children attending?

At a school event, adults are seated in groups of exactly 2 and children are seated in groups of exactly 12. If there are the same number of adults as children, what is the minimum number of adults attending?

A restaurant is hosting a large party. They have 23 tables seating 14 people each and 21 tables seating 16 people each. How many people are seated at the party?

Anna and her friends made dinner reservations at two local restaurants on two different days. While the first restaurant sat all the friends in groups of 4, the second restaurant sat all the friends in groups of 20. What is the smallest number of people that could be in the group?

An event has 24 adults and 42 children. The event planner wants to make each table identical, with the same combination of adults and children and no people left over. What is the greatest number of tables the planner can set up?

The school auditorium has 60 rows of seats. Each row can hold 15 students. If there are240 students graduating, how many rows will be filled with students, and how many rowswill still have empty seats?