Diana Is Comparing The Membership Costs At Two Fitness Centers. The Community Fitness Center Costs $60 Per Month. The Fitness Center Located Where She

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:

5 months

Step-by-step explanation:

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?

cost for community fitness center per month =  $60

cost for fitness center where she works per month = $40

registration fee for fitness center where she works = $100

let x be the number of months when the cost for each fitness center be the same

60x = 40x + 100

subtract both sides by 40x

60x - 40x = 40x + 100 - 40x

20x = 100

x = 5 months