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 with the total cost of each health club be the same?
Let's denote the number of months as "m".
For Club A, the total cost would be $7 (membership fee) + $27 (monthly fee) * m (number of months).
For Club B, the total cost would be $35 (membership fee) + $20 (monthly fee) * m (number of months).
We want to find the value of "m" when the total cost is the same for both health clubs.
Setting up the equation:
7 + 27m = 35 + 20m
Subtracting 20m from both sides of the equation:
7 + 7m = 35
Subtracting 7 from both sides of the equation:
7m = 28
Dividing both sides of the equation by 7:
m = 4
Therefore, after 4 months, the total cost for both health clubs will be the same.