Danny wants to join the gym. Gym A charges a $20 fee and $40 monthly charges. Gym B charges no joining fee and $45 monthly charges. Find the number of months it will take for the total cost for both gyms to be equal

It will take 9 months for both gyms to be equal but next month have a small price difference

Answer: it will take 4 months for the total cost for both gyms to be equal.

Step-by-step explanation:

Let x represent the number of months it will take for the total cost for both gyms to be equal.

Gym A charges a $20 fee and $40 monthly charges. It means that the cost of using gym A for x months is

40x + 20

Gym B charges no joining fee and $45 monthly charges. It means that the cost of using gym B for x months is

45x

For the cost of both gyms to be the same, the number of months would be

45x = 40x + 20

45x - 40x = 20

5x = 20

x = 20/5

x = 4