James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have bud
geted $3500 for the reception. If the reception hall charges a $50 cleanup fee plus $34 per person find the greatest number of people that they may invite and still have within their budget.
$34 times the number of people plus the $50 cleaning fee has to be less than or equal to $3500
Or
34p + 50 <= 3500
34p <= 3450
p <= 101.470588....
We can have a part of a person attending the reception so we have to drop the remainder/decimal. Therefore the most amount of people that can attend the party and stay within budget is 101.
