Question

An art studio charges $80 per class. With a 560 membership, each class costs $60. After how man classes will the total cost be the same for members and non-members?

Answer 1

To find the number of classes needed for the total cost to be the same for members and non-members, set up an equation equating the total cost for non-members and members. Solve the equation to find the number of classes.

Step-by-step explanation:

To find the number of classes needed for the total cost to be the same for members and non-members, we can set up an equation.

Let's assume the number of classes taken is x.

For non-members, the total cost is given by 80x.

For members, the total cost is the membership fee of 560 plus the cost of each class, which is 60x.

Setting these two expressions equal to each other, we have: 80x = 560 + 60x.

Subtracting 60x from both sides and subtracting 560 from both sides, we get: 20x = 560.

Dividing both sides by 20, we find that x = 28.

Therefore, the total cost will be the same for members and non-members after 28 classes.