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?
Let the number of managers be M and the number of assistants be A.
According to the information given:
M + A = 81
M = 25
A ≥ 2
Substitute the value of M in the first equation:
25 + A = 81
A = 81 - 25
A = 56
Therefore, the maximum number of assistants at the event is 56.