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?

Answer 1

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.