Bro Gym charges members $10 per month plus a one time fee of $100 to sign up. Muscles R' Us Gym charges members $20 per month plus a one time fee of $50 to sign up. After how many months would the cost of the gyms be equal?

Answer: it will take 5 hours for both costs to be equal

Step-by-step explanation:

Let x represent the number of months for which the cost of the gyms be equal.

Bro Gym charges members $10 per month plus a one time fee of $100 to sign up. This means that the total amount that Bro Gym charges for x hours is

10x + 100

Muscles R' Us Gym charges members $20 per month plus a one time fee of $50 to sign up. This means that the total amount that Muscles R' Us Gym charges for x hours is

20x + 50

For both cost of the gyms to be equal,

10x + 100 = 20x + 50

20x - 10x = 100 - 50

10x = 50

x = 50/10 = 5