Official Solution: A local arts center hosted a weekend illustration workshop. A community college club reserved spots for its members and paid a one-time reservation fee. If each registration cost $24.50, did the club purchase fewer than 14 registrations? We need to determine whether the club purchased fewer than 14 registrations. Since each registration cost $24.50, the cost of 14 registrations would be 14 * 24.50 = 343.
(1) The club’s total payment, including the one-time reservation fee, was $342.
This total includes both the registration cost and the reservation fee. Since 342 is already less than 343, even the entire payment was less than the cost of 14 registrations alone. Therefore, the club must have purchased fewer than 14 registrations. Sufficient.
(2) The one-time reservation fee was $18.
This tells us only the fixed fee. It does not tell us the total amount paid, so we cannot determine how many registrations the club purchased. Not sufficient.
Answer: A