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.

1 answer

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.