Question

7 at topline’s 50th anniversary celebration, managers and assistants earn custom - engraved plaques in recognition of their outstanding performance. topline purchased a total of 81 plaques for the event. the company gives 25 plaques to the managers and at least 2 plaques to each assistant. what is the maximum number of assistants at the event?

Explanation:

Step1: Find plaques for assistants

Total plaques: 81, managers get 25. So assistants' plaques: $81 - 25 = 56$.

Step2: Maximize assistants (min plaques per assistant)

Each assistant gets at least 2 plaques. To maximize number of assistants, use minimum plaques per assistant (2). Let number of assistants be \( n \). Then \( 2n \leq 56 \). Solve for \( n \): \( n \leq \frac{56}{2} = 28 \).

Answer:

28