Question

community gym charges a $50 membership fee and a $60 monthly fee. Workout gym charges a $225 fee and a $5 monthly fee. After how many months will the total amount paid to both gyms be the same?

Answer 1

Step 1 : Let's review the information given to us to answer the problem correctly:

Community Gym = $50 (Membership fee) + $ 60 (Monthly fee)

Workout Gym = $ 225 (Membership fee) + $ 5 (Monthly fee)

Step 2: Let's write the equation to answer the question, as follows:

Let x to represent the number of months that the total amount paid to both gyms will be the same

Community Gym = Workout Gym

Therefore,

50 + 60x = 225 + 5x

Like terms:

60x - 5x = 225 - 50

55x = 175

Dividing by 55 at both sides:

55x/55 = 175/55

x = 3.18 months

0.18 * 30 = 5.4 days

Step 3: Interpretation of the answer

Approximately after 3 months and 5 days and a half the total amount paid to both gyms will be the same