SOLUTION: I would appreciate help with the following word problem: The Arnold Inn offers two plans for wedding parties. Under plan A, the inn charges $30 for each person in attendance. Un

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Question 214180: I would appreciate help with the following word problem:
The Arnold Inn offers two plans for wedding parties. Under plan A, the inn charges $30 for each person in attendance. Under plan B, the inn charges $1300 plus $20 for each person in excess of thefirst 25 who attend. For what size parties will plan B cost less? (Assume that more than 25 guests will attend.)
Solve as an inequality. I would appreciate if you show your work so I can understand how it's done.
Thank you very, very much!
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = the cost of the plans
Let = number of guests
Plan A:

Plan B:

I want all situations where Plan A costs more than Plan B

If the number of guests is greater than 80,
plan B costs less than Plan A
check answer:
Suppose there are 80 guests
Plan A:

Plan B:

(break even point)
Suppose there are 81 guests:
Plan A:

Plan B:

($10 cheaper)
OK