Orange Theory is currently offering a deal where you can buy a fitness pass for $100 and then each c | MathCelebrity Forum

Orange Theory is currently offering a deal where you can buy a fitness pass for $100 and then each c

math_celebrity

Administrator
Staff member
Orange Theory is currently offering a deal where you can buy a fitness pass for $100 and then each class is $13, otherwise it is $18 for each class. After how many classes is the total cost with the fitness pass the same as the total cost without the fitness pass?

Let the number of classes be c.

For the fitness pass plan, we have the total cost of:
13c + 100

For the flat rate plan, we have the total cost of:
18c

The question asks for c when both plans are equal. So we set both costs equal and solve for c:
13c + 100 = 18c

We type this equation into our math engine and we get:
c = 20
 
Back
Top