Final answer:
Mark and Heather Starr can invite a maximum of 50 people to their reception to stay within their $2,000 budget after accounting for an $80 cleanup fee and $38 per person charge.
Step-by-step explanation:
The question asks us to calculate the greatest number of people Mark and Heather Starr can invite to their 25th anniversary reception while staying within a $2,000 budget, taking into account an $80 cleanup fee and a $38 per person charge by the reception hall.
First, we need to subtract the flat cleanup fee from the total budget:
$2,000 - $80 = $1,920
Next, we divide the remaining budget by the cost per person to find out how many people they can invite:
$1,920 รท $38 = 50.5263
Since they cannot invite a fraction of a person, we'll take the whole number that fits into the budget, which is 50 people.