Question

Planet fitness charges a $100 registration fee plus $15 per month to be a member and use their gym. Anytime Fitness charges $40 registration fee plus $35 a month to use their gym. How many months would someone have to be a member at each in order for their costs to be the same?

Answer 1

The total costs for Planet Fitness and Anytime Fitness memberships will be the same after 3 months.

To calculate when the costs for memberships at Planet Fitness and Anytime Fitness will be the same, let's set up an equation where the total cost for Planet Fitness is equal to the total cost for Anytime Fitness. The cost for Planet Fitness can be represented as $100 + $15x, where x is the number of months of membership. Anytime Fitness's cost can be represented as $40 + $35x.

To find the point where the costs are the same, we set up the equation: 100 + 15x = 40 + 35x

Solving for x gives us: 100 - 40 = 35x - 15x

60 = 20x

x = 3

So, after 3 months, the total cost of membership at both gyms will be the same.

In conclusion, it would take 3 months for a member to accrue the same amount of fees at both Planet Fitness and Anytime Fitness.