Question

Danny is thinking of buying a gym membership. He has two gums available to choose from. Gym A has a $35 initial fee and costs $42 per month.Gym B has $65 initial fee and costs $36 per month. After how many months will the overall cost if both gym memberships be the same? How much will that be?

Answer 1

For this, all you have to do is create equations where all you have to do is change the x value. The equation for gym A would be 35 + 42x, where x is the number of months he has the membership, and the first number is the initial fee. The equation for gym B would be 65 + 36x, following the same rules. Now all you have to do is set both of these equations equal to each other:
65+36x=35+42x
Solving this equation results in x=5, which means that he has to have the memberships for 5 months for them to be equal. Now just plug that in to one side of the equation to get the amount he has to spend:
65+36(5) = $245