Community Gym charges a $55 membership fee and a $40 monthly fee. Workout Gym charges a $125 membership fee and a $30 monthly fee. How many months will it take for
the cost of both gyms to be the same? and what is the cost of the gyms during that number
of months?

The gyms can be represented by these equations, with x for months. 40x+55= 30x+125. Combine like terms. First, subtract 30x from both sides, and you get 10x+55=125. Subtract 55 next. You now have 10x=70. Divide by 10, and you get x=7. It will take 7 months for them to be the same. To find the cost, you can plug in x. 40(7)+55=335. 30(7)+125=335. The cost is $335.