SOLUTION: The Comfort suite offers rooms to groups of sales representatives for $65 per person. The Holiday Inn offers rooms to groups of representatives for $2,500 plus $40 for each repres

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Question 1428: The Comfort suite offers rooms to groups of sales representatives for $65 per person. The Holiday Inn offers rooms to groups of representatives for $2,500 plus $40 for each representative over the first 30 who attend. For what size group of sales representatives will the Holiday Inn cost less than the Comfort suite?
Answer by JamieL38(6) About Me  (Show Source):
You can put this solution on YOUR website!
Let x represent the number of sales representatives.
The Comfort suite charges $65*x.
Holiday Inn charges $2500+$40(x-30). The x-30 is the number of sales representatives for which the Inn charges, since the first 30 are included in the $2500.
We then write an inequality to solve the problem.
65x>2500+40(x-30)
65x>2500+40x-1200
25x>1300
x>52.
So for groups larger than 52 representatives (53 or more), the Holiday Inn is cheaper. Notice that for groups that have exactly 52 representatives the cost is the same for both places.