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

Discussion in 'Calculator Requests' started by math_celebrity, Sep 14, 2021.

  1. math_celebrity

    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
     

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