Question

Community Gym charges a $40 membership fee and a $65 monthly fee. Workout Gym charges a $170 membership fee and a $55 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?

Answer 1

Answer: 13 months

Explanation:

I made these into equations first.

40 (initial fee) + 65x (x is the number of months) = total cost

170 (initial fee) + 55x (x is the number of months) = total cost

There are two ways to go about this.

1. Put it into a graphing calculator (or a site like desmos) and see where the lines intersect (the easiest way)

2. If you don't have access to either of those, do the old guess and check by plugging in numbers of months until you get your desired answer.