steve and michele are celebrating their 30th anniversary by having a reception at a local reception hall. They have budgeted f3,000 for their reception. If the reception hall charges a $100 cleanup fee plus $36 per person, find the greatest number of people that they may invite and still stay within their budget.

Question

steve and  michele are celebrating their  30th anniversary by having a reception at a local reception hall.  They have budgeted  f3,000 for their reception.  If the reception hall charges a  $100 cleanup fee plus $36 per​ person, find the greatest number of people that they may invite and still stay within their budget.

GPT 3.5 · Answer

Let's denote the number of people they can invite as 'x'.
The cost of the cleanup fee is $100, and the cost per person is $36. Therefore, the total cost is given by the equation:
$100 + $36*x = $3000
Subtracting $100 from both sides of the equation, we get:
$36*x = $2900
Dividing both sides of the equation by $36, we get:
x = $2900 / $36
Simplifying the right side of the equation, we get:
x = 80.56
Since the number of people must be a whole number, the greatest number of people they can invite is 80. Answer: \boxed{80}.