Question

James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the reception hall charges a $60 cleanup fee plus $32 per person, find the greatest number of people that they may invite and still stay within their budget. Round down to the nearest whole person. Show your work and explain.

Answer 1

After subtracting the $60 cleanup fee from the $2,500 budget, $2,440 remains for guests. Dividing this by the $32 per person cost, we find that the Morrisons can invite up to 76 people to their anniversary reception while staying within their budget.

Step-by-step explanation:

To find the greatest number of people that James and Bethany Morrison may invite to their 10th anniversary reception while staying within their budget, we need to consider the fixed cleanup fee and the cost per person.

First, we subtract the fixed cleanup fee from the total budget:

Budget - Cleanup Fee = Remaining Budget for Guests
$2,500 - $60 = $2,440

Next, we divide the remaining budget for guests by the cost per person to find the maximum number of guests they can afford:

Remaining Budget for Guests ÷ Cost per Person = Maximum Number of Guests
$2,440 ÷ $32 ≈ 76.25

Since they can only invite whole people and not fractions of a person, we round down to the nearest whole person:

Maximum Number of Guests = 76