SOLUTION: 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

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Question 4706: 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 the first 25 who attend. For what size parties will plan B cost less? (Assume that more than 25 guests will attend.)
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of people attending = x
Plan A cost is 25x ($25 for each person attending)
Plan B cost is 1300 + 20x ($1300 plus $20 for each attending)
Set up your inequality as:
Plan B < Plan A
1300+20x < 25x
Subtract 20x from both sides:
1300 < 5x
Divide both sides by 5
260 < x
So any number of guest greater than 260 will make plan B less expensive.