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's represent the number of people they can invite by "x".
The total cost of the reception hall will be the cleanup fee plus the cost per person times the number of people:
Total cost = $100 + $39x
We want to find the largest number of people they can invite while staying within their $3,000 budget. So we set up the equation:
$3,000 = $100 + $39x
Now we solve for x:
$39x = $3,000 - $100
$39x = $2,900
x = $2,900/$39
x = 74.36
Since we need to round down to the nearest whole person, Mark and Heather can invite a maximum of 74 people to their reception.