Mark and Heather Starr are celebrating their 25th 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 $39 per person, find the greatest number of people that they may invite and still stay within their budget.

Step-by-step explanation:

Step one:

given data

total budget=$2500

we are told that the hall charges $60 for cleanup, the amount is a fix charge

and per person is $39

let the number of persons be x

The model for the situation is described by y=mx+c

Step two:

2500=39x+60

solve for x

2500-60=39x

2440=39x

divide both sides by 39 we have

x=2440/39

x=62.56

The greatest number of people that they may invite and still stay within their budget.  is 62