Health Club Fees You are choosing between two health clubs. Club A offers membership for a fee of $ 7 plus a monthly fee of $ 24. Club B offers membership for a fee of $ 28 plus a monthly fee of $ 17. After how many months will the total cost of each health club be the same?

The total cost of each health club will be the same after the 3 months.

Step-by-step explanation:

There are two health clubs A and B.

To find the total fee of club A:

Total fee of club A = membership fee of A + monthly fee of A

⇒ $7 + $24

To find the total fee of club B:

Total fee of club B = membership fee of B + monthly fee of B

⇒ $28 + $17

To find the total cost of each health club be the same:

Let us assume,

The number of months at which the cost of both clubs A and B is same is 'x'.

Total cost of club A for x months = Total cost of club B for x months

⇒ 7 + 24x = 28 + 17x

⇒ 24x - 17x = 28-7

⇒ 7x = 21

⇒ x = 21/7

⇒ x = 3 months

After 3 months the total cost of each health club will be the same.