Casey wants to buy a gym membership. Gym A has a $50 joining fee & costs $40 per month. Gym B has no joining fee & cost $65 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?

1; after 2 months

2; $130

Step-by-step explanation:

In this question, we are trying to compare the fees to be paid in two different gyms, to determine when the amount paid would be equal and also what this amount would be.

Now since we do not know the exact number of months, we can represent this unknown by x

so mathematically, at the end of m months, at the first gym, Casey would have paid a total of 50 + 40m

For the second gym, at the end of the second month, casey would have paid a total of 65m only

now we need to know when these fees would be the same. we simply equate what we have on both ends

mathematically, that is 50 + 40m = 65m

65m-40m = 50

25m = 50

m = 50/25

m = 2 months

The fees to be paid is

50 + 40 (2) = 65 (2) = $130