You are choosing between two health clubs. Club A offers membership for a fee of $7 plus a monthly fee of $27. Club B offers membership for a fee of $35 plus a monthly fee of $20. After how many months will the total cost of each health club be the same?
In
month(s) the total cost of each health club will be the same.
Let's assume the number of months necessary for the total cost of both health clubs to be the same is x.
For Club A, the total cost after x months can be calculated as:
Total Cost = $7 + $27x
For Club B, the total cost after x months can be calculated as:
Total Cost = $35 + $20x
To find out when the total cost of both clubs is the same, we set up the equation:
$7 + $27x = $35 + $20x
Now, let's solve this equation:
$27x - $20x = $35 - $7
$7x = $28
x = $28 / $7
x = 4
Therefore, after 4 months, the total cost of each health club will be the same.