Question

Community Gym charges a $70 membership fee and a $70 monthly fee. Workout Gym charges a $200 membership fee and a $60 monthly fee. How many months will it take for the cost of both gyms to be the same? And what is the cost of the gyms during that number of months

Answer 1

It will take 13 months for the cost of both gyms to be the same. The cost of both gyms during that number of months is $910 for the Community Gym and $980 for the Workout Gym.

Step-by-step explanation:

To find the number of months it will take for the cost of both gyms to be the same, we need to set up an equation and solve for the number of months.

Let's assume that the number of months is represented by 'x'.

The cost of the Community Gym is given by: Cost = 70 + 70x.

The cost of the Workout Gym is given by: Cost = 200 + 60x.

We can set up the equation: 70 + 70x = 200 + 60x.

Simplifying the equation gives: 10x = 130.

Dividing both sides by 10 gives: x = 13.

So, it will take 13 months for the cost of both gyms to be the same.

The cost of the gyms during that number of months can be found by substituting 'x' into the cost equations.

For the Community Gym: Cost = 70 + 70(13) = 910.

For the Workout Gym: Cost = 200 + 60(13) = 980.

Therefore, the cost of both gyms during that number of months is $910 for the Community Gym and $980 for the Workout Gym.