Question 1428
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.