mark and heather starr are celebrating their 25th anniversary by having a reception at a local reception hall. they have budgeted $3,500 for their reception. If the reception hall charges a $100 cleanup fee plus $31 per person find the greatest number of people that they may invite and still stay within their budget

mark and heather can invite at most blank people to the reception

round down to the nearest whole person

To find the greatest number of people that Mark and Heather can invite while staying within their budget, we need to subtract the cleanup fee from the total budget and then divide the remaining amount by the per person charge.

Budget - Cleanup fee = $3,500 - $100 = $3,400

Max number of people = (Budget - Cleanup fee) / Per person charge
Max number of people = $3,400 / $31 ≈ 109.68

Since we need to round down to the nearest whole person, Mark and Heather can invite at most 109 people to their reception.