SOLUTION: (I've worked on it so much that I think I'm over-thinking the problem-) The Birmingham Inn offers two plans for party packages. Under plan A, the inn charges $40 for each person

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Question 251587: (I've worked on it so much that I think I'm over-thinking the problem-)
The Birmingham Inn offers two plans for party packages. Under plan A, the inn charges $40 for each person in attendance. Under plan B, the inn charges $1200, plus $20 for each person in attendance.
a) Write an inequality showing Plan B less than Plan A for x people in attendance.


b) How many people must be in attendance at the wedding reception in order for Plan B to be the cheaper plan?
Found 2 solutions by richwmiller, stanbon:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x>60 then B 40x=1200+20x
After 60 people plan B is better

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The Birmingham Inn offers two plans for party packages.
Under plan A, the inn charges $40 for each person in attendance.
A(x) = 40x
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Under plan B, the inn charges $1200, plus $20 for each person in attendance.
B(x) = 1200 + 20x
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a) Write an inequality showing Plan B less than Plan A for x people in attendance.
A(x)-B(x) > 0
40x - (1200+20x) > 0
40x - 20x - 1200 > 0
20x > 1200
x > 60
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b) How many people must be in attendance at the wedding reception in order for Plan B to be the cheaper plan?
If # of people is greater than 60 plan B costs less than plan A.
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Cheers,
Stan H.