SOLUTION: You are choosing between two health clubs. Club A offers membership for a fee of $27 plus a monthly fee of $28. Club B offers membership for a fee of $15 plus a monthly fee of

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: You are choosing between two health clubs. Club A offers membership for a fee of $27 plus a monthly fee of $28. Club B offers membership for a fee of $15 plus a monthly fee of      Log On

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Question 1147666: You are choosing between two health clubs. Club A offers membership for a fee of $27 plus a monthly fee of $28. Club B offers membership for a fee of
$15 plus a monthly fee of $ 32.  
After how many months will the total cost of each health club be the​ same? What will be the total cost for each​ club?
In__months the total cost of each health club will be the same.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let m be the number of months
:
For Club A, total cost = 28m +27
:
For Club B, total cost = 32m +15
:
To find the number of months when both total costs are equal, set the equations equal to each other and solv for m
:
28m +27 = 32m +15
:
4m = 12
:
m = 3
:
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In 3 months the total cost will be the same for both Clubs
:
28(3) +27 = $111
:
Total cost for each club will be $81
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