Question

Community Gym charges a $40 membership fee and a $50 monthly fee. Workout Gym charges a $210 membership fee and a $40 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

To find the number of months it will take for the total amount of money paid to both gyms to be the same, set up an equation and solve for x. After 17 months, the total amount paid to both gyms will be $870.

Step-by-step explanation:

To find the number of months it will take for the total amount of money paid to both gyms to be the same, we need to set up an equation and solve for x. Let x represent the number of months.

For Community Gym, the total cost after x months is: 40 (membership fee) + 50x (monthly fee).

For Workout Gym, the total cost after x months is: 210 (membership fee) + 40x (monthly fee).

Setting up the equation:

40 + 50x = 210 + 40x

10x = 170

x = 17

After 17 months, the total amount of money paid to both gyms will be the same, which is $870.

Answer 2

The answer is 18 months. To solve you should set this up as an equation with variables on both sides, and then get the variables on one side and then solve it like a one step equation.