SOLUTION: My word problem that I am stuck on is... A hairdresser is deciding where to open her own studio. If the hairdresser chooses Location A, she will pay $1200 per month in rent and wi

Question 795068: My word problem that I am stuck on is...
A hairdresser is deciding where to open her own studio. If the hairdresser chooses Location A, she will pay $1200 per month in rent and will charge $45 per haircut. If she chooses Location B, she will pay $1800 per month in rent and will charge $60 per haircut. How many haircuts would she have to give in one month to make the same profit at either location?
I've tried solving this by using but I ended up with -40 which makes no sense to me since the hairdresser cannot give a negative amount of haircuts. So please help me solve this word problem.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If the hairdresser chooses Location A, she will pay $1200 per month in rent and will charge $45 per haircut.
If she chooses Location B, she will pay $1800 per month in rent and will charge $60 per haircut.
How many haircuts would she have to give in one month to make the same profit at either location?
:
Profit is the revenue (from haircuts) - the expense (the rent)
The two equations
p1 = 45h - 1200
p2 = 60h - 1800
hence
60h - 1800 = 45h - 1200
60h - 45h = -1200 + 1800
etc
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