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:
[tex]12x+63[/tex]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:
[tex]15x[/tex]Since you need to find the value of "x" for which the cost will be the same, you must set up the this equation:
[tex]12x+63=15x[/tex]Now you have to solve for "x":
[tex]\begin{gathered} 63=15x-12x \\ 63=3x \\ \\ \frac{63}{3}=x \\ \\ x=21 \end{gathered}[/tex]The answer is:
Equation:
[tex]12x+63=15x[/tex]Number of classes:
[tex]x=21[/tex]