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