Question

Community Gym charges a 550 membership fee and a $70 monthly fee. Workout Gym charges a $200

membership fee and a 560 monthly fee. After how many months will the total amount of money paid to
both gyms be the same? What will the amount be?
After
months the amount paid to both gyms will be $

Answer 1

Hello!

Let

y be the total fee, and

x the number of months.

Equation 1:

y = 50 + 55 x

Equation 2:

y = 200 + 45 x

Solve the system for x and y.

50 + 55 x = 200 + 45 x

10 x = 150

x = 15

y = 200 + 45 (15)

y = 875

The total amount paid to both gyms is equal after

15

months and will be

$ 875

Hopefully this helps!