Questions: (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?

Solution Steps

To find the maximum number of assistants, we need to determine how many plaques are left after giving 25 to the managers. Then, we divide the remaining plaques by 2 (since each assistant gets at least 2 plaques) to find the maximum number of assistants.

The total number of plaques purchased is \( 81 \). The number of plaques given to managers is \( 25 \). Therefore, the number of plaques available for assistants is calculated as follows:

\[ \text{Plaques for assistants} = 81 - 25 = 56 \]

Each assistant receives at least \( 2 \) plaques. To find the maximum number of assistants, we divide the remaining plaques by \( 2 \):

\[ \text{Max assistants} = \frac{56}{2} = 28 \]

Final Answer