A yoga studio has two ways you can pay for classes.

Question

The first plan is to pay $10 for each class.
The second plan is to pay a $32 fee to join plus $6 for each class.

Write an equation to show the number of visits it would take for the cost of the two plans to be equal.
Use x to represent the number of classes.
Then solve the equation.

a. 10x = 32 - 6x and x = 2
b. 10x = 32 + 6x and x = 2
c. 10x = 32 + 6x and x = 4
d. 10x = 32 + 6x and x = 8

Answer 1

The correct answer is c. 10x = 32 + 6x and x = 4

Explanation:
Let's set up the equation for each plan:

Plan 1 (pay $10 for each class): 10x
Plan 2 (pay $32 to join plus $6 for each class): 32 + 6x

Now we will set these two equations equal to each other to find out when they are equal:

10x = 32 + 6x
4x = 32
x = 32/4
x = 8

Therefore, it would take 8 classes for the cost of both plans to be equal.