A marketing company plans to hold a meeting in a large conference room at a hotel. The Cost of renting the room is $500, and they will provide snacks and beverages for an additional $6 per person. If the company has budgeted $1200 for the room and refreshments, find the greatest number of people who can attend the meeting

The greatest number of people that can attend the meeting on that budget is 116

Step-by-step explanation:

The cost for the meeting is given by the following expression:

cost = 500 + 6*person

Since the budget is $1200 the cost must be at most equal to that, therefore:

1200 = 500 + 6*person

500 + 6*person = 1200

6*person = 1200 - 500

6*person = 700

person = 700/6 = 116.667

Since there can't be a 0.667 person, the greatest number of people that can attend the meeting on that budget is 116