Question

Fitness Works charges a $20 monthly fee, plus $5 for each class you take. Gym-tastic charges$100 monthly fee, and offers FREE unlimited classes. How many classes do you have to take forthe cost to be the exact same at both gyms?

Answer 1

Let us assume that the number of classes is x and the total fee is y

In the Fitness works, there is a monthly fee of $20 and $5 per class, then

The total fee y = 20 + 5(x), then

y = 20 + 5x ------ (1)

In the Gym-tastic, there is a monthly fee of $100 for unlimited classes, then

y = 100 ------- (2)

Equate (1) and (2)

20 + 5x = 100

Subtract 20 from both sides

20 - 20 + 5x = 100 - 20

5x = 80

Divide both sides by 5 to find x

x = 16

The number of the classes is 16