you are choosing between two health clubs. club a offers membership for a fee of $16 plus a monthly fee of…

Explanation:

Step1: Set up cost - equations

Let $x$ be the number of months. The cost of Club A, $C_A=16 + 27x$. The cost of Club B, $C_B=26+25x$.

Step2: Set the two equations equal

Set $C_A = C_B$, so $16 + 27x=26 + 25x$.

Step3: Solve for $x$

Subtract $25x$ from both sides: $16 + 27x-25x=26+25x - 25x$, which simplifies to $16 + 2x=26$. Then subtract 16 from both sides: $2x=26 - 16$, so $2x = 10$. Divide both sides by 2: $x = 5$.

Step4: Find the total cost

Substitute $x = 5$ into either $C_A$ or $C_B$. Using $C_A=16+27\times5=16 + 135=151$.

Answer:

In 5 months the total cost of each health club will be the same. The total cost for each health club will be $151.