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 $100 cleanup fee plus $33 per person, find the greatest number of people that they may invite and still stay within their budget

Answer 1

The greatest number of people James and Bethany may invite and still stay within their budget is 72.

Step-by-step explanation:

In order to find the greatest number of people that James and Bethany may invite and still stay within their budget, we need to set up an inequality using the given information. Let's assume that they can invite 'x' number of people. The cost of the reception hall includes a $100 cleanup fee plus $33 per person, so the total cost can be represented by the equation: 100 + 33x.

To stay within their budget of $2,500, we set up the inequality: 100 + 33x ≤ 2500. Now we can solve this inequality to find the maximum number of people. Let's do that:

100 + 33x ≤ 2500
33x ≤ 2400
x ≤ 72.73

Since we cannot have a fraction of a person, the greatest number of people they can invite is 72.