Stay fit gym charges a membership fee of .They Offer karate classes for an additional fee.

a) How many classes could members and non members take before they pay the same amount?

The correct answer is: members and non members take 15 classes before they pay the same amount.

Explanation :-
a) let the no.of classes at which they pay same be n
Step 1:- Find the cost for member and non member students at n class
Given ,membership fee of $75 ; no.of class be n and cost for members per class = $3
The total cost for membership students = membership fee + (no.of classes)×(cost per class)
The  total cost for membership students = $75 + (n) × ($3) = 3n + 75
For non member students ,cost per class = $ 8 and no.of classes be n
The  total cost for  non membership students = no.of classes × cost per class
The  total cost for  non membership students =n × $ 8 = 8n
Step 2:- equate both total costs to get the value of n.


∴ n = 15
∴members and non members take 15 classes before they pay the same amount.