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

Question

Sage

Mathematics

4 July, 05:03

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

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Malcolm Shelton · Answer 1

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