Question

Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $3,500 for their reception. If the reception hall charges a $60 cleanup fee plus $30 per person, find the greatest number of people that they may invite and still stay within their budget.

Answer 1

112

Step-by-step explanation:

The budget for the reception = $3,500

Charge for clean up = $60

Charge per person = $30

let the number of people they can invite = x

The greatest number of people that they may invite and still stay within their budget:

The budget for the reception = Charge for clean up + Charge per person × number of person to be invited

$3,500 = $60 + $30× x

3500 = 60 + 30x

we solve for x:

3500 - 60 = 30x

3440 = 30x

3440/30 = 30x/30

x = 114.67

Since we can't have a decimal number of people, the number of people will be 114

Now , if we take into consideration Mark and Heather as part of those that will be attending, then the total number of people they will invite = 114 - 2

= 112

Hence, the the greatest number of people that they may invite and still stay within their budget is 112