Members of a fitness club pay a monthly membership fee of $50. Members pay an additional fee of $5 for every fitness class taken. Non-members pay $10 for every fitness class taken.

Question

Members
,begin bold,Number of Classes,end bold,

Taken per Month

Total Monthly

Cost

0 $50
2 $60
4 $70
6 $80

Non-Members
Number of Classes

Taken per Month

Total Monthly

Cost

0 $0
2 $20
4 $40
6 $60

Question
How many classes do members need to take so that the total monthly cost is the same as the total monthly cost of non-members for the same number of classes?

Answer options with 4 options
A.
6

B.
8

C.
10

D.
12

Answer 1

To determine the number of classes members need to take so that the total monthly cost is the same as the total monthly cost for non-members, we need to set up an equation.

Let's use the variable "x" to represent the number of classes taken.

For members, the total cost is given by:
$50 (membership fee) + $5 (additional fee per class) * x (number of classes taken)

For non-members, the total cost is given by:
$10 (fee per class) * x (number of classes taken)

Setting up the equation, we have:
$50 + $5x = $10x

Simplifying the equation:
$50 = $5x

Dividing both sides of the equation by $5:
10 = x

Therefore, members need to take 10 classes in order to have the same total monthly cost as non-members.

The correct answer is C. 10.