Question

Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?

Answer 1

Let the number of months be x

Find the cost of the community fitness center:

1 month = $60

x months = $60x

Find the cost of the fitness center near her workplace:

Fixed cost = $100

Monthly cost = $40

x months = 100 + 40x

Solve x:

60x = 100 + 40x

20x = 100

x = 100 ÷ 20

x = 5

Answer: Both the membership will cost the same after 5 months.

Answer 2

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Step-by-step explanation: