Members at a yoga class pay 7 dollars per class plus a one time fee 120 dollars membership fee. Non members pay 11 dollars a class. How many classes would a member have to take to save money compared to taking classes as a non member

you just want to find out when

120+7x < 11x

To determine the number of classes a member would have to take to save money compared to taking classes as a non-member, we'll need to compare the total cost for a member and a non-member. Let's calculate:

For members:
- Cost per class: $7
- Membership fee: $120

For non-members:
- Cost per class: $11

To find out when a member starts saving money compared to a non-member, we equate the total costs:

Member cost = Non-member cost

Total cost for members = Total cost for non-members

(cost per class * number of classes) + membership fee = cost per class * number of classes

To simplify the equation:

7 * number of classes + 120 = 11 * number of classes

120 = 11 * number of classes - 7 * number of classes

120 = 4 * number of classes

Dividing both sides by 4, we get:

number of classes = 120 / 4

number of classes = 30

Therefore, a member would have to take 30 classes to save money compared to taking classes as a non-member.