Final answer:
After deducting the $95 cleanup fee from the $2,100 budget, $2,005 remain for guests. Dividing this amount by the $25 per guest cost yields a maximum of 80 guests that can be invited within the budget.
Step-by-step explanation:
To calculate the maximum number of guests that can be invited to the reception within the budget of $2,100, first deduct the fixed cleanup fee of $95 from the total budget. This leaves $2,100 - $95 = $2,005 for food and drinks. Given that food and drinks cost $25 per guest, you would divide the remaining amount by $25 per guest to find out the number of guests you can afford to invite.
The calculation will be as follows:
Subtract the cleanup fee: $2,100 - $95 = $2,005
Divide the remaining budget by the cost per guest: $2,005 ÷ $25 ≈ 80
Therefore, the maximum number of guests that can be invited without exceeding the budget is 80.