Answer:
There can be 19 attendees at most, if the budget for the charity gala is $508.
Explanation:
From the information given, the cost of the charity gala is equal to the flat fee plus the additional cost per attendee for the number of attendees, which can be expressed as:
C=394+6a, where c is the cost of the charity gala and a is the number of attendees.
Now, you need to replace C with 508 and solve for a that is the number of attendees:
C=394+6a
508=394+6a
508-394=6a
6a=114
a=114/6
a=19
According to this, the answer is that there can be 19 attendees at most, if the budget for the charity gala is $508.