Question

There are two gyms in town. We Run For Fun a $63 starting fee plus $12 per class. Yoga For All charges no starting fee and $15 per class. Write and solve an equation to find the number of classes for which the cost will be the same at both places.show ALL work please!

Answer 1

Let be "x" the number of classes for which the cost will be the same at both places.

According to the information given in the exercise, a person must pay $12 per class plus a starting fee of $63 in the gym We Run For Fun . Based on this, you can set up the following expression to represent this situation:

`12x+63`

In the gym Yoga For All there is no starting fee. A person must pay $15 per class. Then, you can set up the following expression to represent this situation:

`15x`

Since you need to find the value of "x" for which the cost will be the same, you must set up the this equation:

`12x+63=15x`

Now you have to solve for "x":

`\begin{gathered} 63=15x-12x \\ 63=3x \\ \\ (63)/(3)=x \\ \\ x=21 \end{gathered}`

The answer is:

Equation:

`12x+63=15x`

Number of classes:

`x=21`