Mark and
Heather
Starr are celebrating their
25th anniversary by having a reception at a local reception hall. They have budgeted
$3,000 for their reception. If the reception hall charges a
$100 cleanup fee plus
$39 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
enter your response here
people to the reception.
(Round down to the nearest whole person.)
Let x be the number of people they can invite.
The total cost of the reception hall is $100 (cleanup fee) + $39 (per person charge) * x (number of people).
The total cost should not exceed $3000, so we have the inequality:
$100 + $39x ≤ $3000
$39x ≤ $2900
x ≤ 2900/39
x ≤ 74.359
Rounding down to the nearest whole person, they can invite at most 74 people.