Question

Community Gym charges a $60 membership fee and a $65 monthly fee. Workout Gym charges a $190 membership fee and a $55 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount

Answer 1

• 13 months
• $905

Explanation:

You want the cost and the number of months of membership such that the cost of both gyms is the same.

Total cost

The total cost of x months of membership at each gym will be the sum of its initial fee and the product of the monthly fee and the number of months.

Setup

The cost at Community Gym is ...

c = 60 + 65x

The cost at Workout Gym is ...

w = 190 +55x

These costs will be the same when ...

c = w

60 +65x = 190 +55x

Solution

Subtracting 60+55x from both sides of the equation leaves ...

10x = 130

x = 13 . . . . . . divide by 10

The cost will be the same after 13 months.

That cost will be ...

60 +65(13) = 60 +845 = 905

The amount paid at each gym after 13 months will be $905.