Chapter 8.3, Problem 6GP

To determine

How many months do you have a gym membership

Answer to Problem 6GP

The months you have gym membership is $x=18$

Explanation of Solution

Given:

A gym charges a $49.95 activation fee and $17.50 per month for membership and spen $364.95

Concept Used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

In order to find an equation

Let x be the months in which we have a membership and $17.50 per month fee

For x month fee will be $17.50x$ and activation fee $49.95$

Thus, the equation is $49.95+17.50x=364.95$

In order to solve the equation $49.95+17.50x=364.95$ first subtract both sides by $49.95$ and then divide both sides by $17.50$ and then simplify as below

  $\begin{array}{c}49.95+17.50x=364.95\\ 49.95+17.50x-49.95=364.95-49.95\\ 17.50x=315\\ \frac{17.50x}{17.50}=\frac{315}{17.50}\\ x=18\end{array}$

Thus, the months you have gym membership is $x=18$