Chapter 4.6, Problem 6CYU

To determine

To find: the number of months having the gym membership

Answer to Problem 6CYU

The gym membership is 18 months.

Explanation of Solution

Given:

The amount spent is $356.

The total cost is the activation fee $50 plus membership fee per month $17.

Calculation:

Let the number of months you have membership is m .

The amount spent is $356.

Here, the total cost is the activation fee $50 plus membership fee per month $17.

Put all together,

Hence, the required equation is as follows:

  $50+17m=356\mathrm{.....}\text{(1)}$

Solve equation (1),

  $50+17m=356$

Simplify the above equation:

  $\begin{array}{l}17m=356-50\\ m=\frac{306}{17}\\ =18\end{array}$

Hence, the gym membership is 18 months.

Conclusion:

Hence, the gym membership is 18 months.