Let the total cost of Club A after x months be represented by the equation:
Total cost of Club A = 27 + 19x
Let the total cost of Club B after x months be represented by the equation:
Total cost of Club B = 17 + 21x
Now, to find when the total costs will be the same, we need to set the two equations equal to each other and solve for x:
27 + 19x = 17 + 21x
10 = 2x
x = 5
Therefore, the total cost for each health club will be the same after 5 months.
To find the total cost at that point, we can substitute x = 5 back into either equation. Let's use the equation for Club A:
Total cost of Club A = 27 + 19(5)
Total cost of Club A = 27 + 95
Total cost of Club A = $122
Therefore, after 5 months, the total cost for Club A will be $122.
Now, let's find the total cost for Club B after 5 months:
Total cost of Club B = 17 + 21(5)
Total cost of Club B = 17 + 105
Total cost of Club B = $122
Therefore, after 5 months, the total cost for Club B will also be $122.
You are choosing between two health clubs. Club a offers membership for a fee of 27 plus monthly fee of 19. Club b offers membership for a fee of 17 plus a monthly fee of 21. After how many months will the total cost of each health club be the same? What will be the total cost for each club?
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