Question

You are choosing between two fitness centers. Fitness Club A charges $28 to join plus $18 a month. Fitness Club B charges $35 to join plus $11 a month. After how many months will the total cost of each fitness club be the same?

Answer 1

Let "x" represent the number of months

Firness Club A charges $28 to join and then $18 each month, you can express the total cost as an equation:

`C_A=28+18x`

Fitness Club B cherges $35 to join and $11 each month, you can express the total cost as an equation:

`C_B=35+11x`

You need to know the amount of month needed for both clubs to cost the same:

`\begin{gathered} C_A=C_B \\ 28+18x=35+11x \end{gathered}`

From the equation determined you can calculate the value of x:

`\begin{gathered} 28+18x=35+11x \\ 18x-11x=35-28 \\ 7x=7 \\ x=1 \end{gathered}`

After one month the total cost of each club will be the same.