Question

At a local fitness​ center, members pay aa ​$14 membership fee and ​$4 for each aerobics class. Nonmembers pay ​$6 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the​ same?

Answer 1

The number of aerobics classes for which the cost for members and nonmembers be same is 7 classes .

Explanation:

Given as :

The cost for membership fee = $ 14

The cost for aerobics class for members = $ 4

The cost for aerobics class for nonmembers = $ 6

Let The number of aerobics classes for which the cost for members and nonmembers be same = n classes

So, According to question

The cost for membership fee + ( The cost for aerobics class for members × The number of aerobics classes ) = The cost for aerobics class for nonmembers

I.e $ 14 + ( $ 4 × n ) = $ 6 × n

Or, 14 = 6 × n - 4 × n

or, 14 = 2 × n

∴ n =
`(14)/(2)`

I.e n = 7

So, The number of aerobics classes for which the cost for members and nonmembers be same = n = 7 classes

Hence , The number of aerobics classes for which the cost for members and nonmembers be same is 7 classes . Answer