Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

A yoga studio offers memberships that cost $\$ 30$ per month for unlimited classes. The studio also accepts walk-ins, charging $\$ 5$ per class. If someone attends enough classes in a month, the two options cost the same total amount. What is that total amount? How many classes is that?

Each option costs $\$$ if a person takes classes.
Submit

Step 1 ：Let's denote M as the cost of the monthly membership, C as the cost per class, T as the total cost, and N as the number of classes. From the problem, we know that M = $30 and C = $5.

Step 2 ：The total cost for the monthly membership is always $30, so we have the equation M = T.

Step 3 ：The total cost for the walk-ins is the cost per class times the number of classes, so we have the equation C * N = T.

Step 4 ：We can solve these two equations by substitution to find the values of T and N.

Step 5 ：Substituting M = 30 into the first equation, we get T = 30.

Step 6 ：Substituting C = 5 into the second equation, we get N = T/5.

Step 7 ：Final Answer: The total cost is \(\boxed{30}\) dollars and the number of classes is \(\boxed{6}\).