Question

At a local fitness​ center, members pay a $12 membership fee and ​$3 for each aerobics class. Nonmembers pay ​$4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the​ same?

Answer 1

For 12 number of aerobics classes, cost for members and nonmembers is same

Solution:

Let "x" be the number of aerobic classes

At a local fitness​ center, members pay a $12 membership fee and ​$3 for each aerobics class

Therefore,

Members pay = 12 + 3(number of classes)

Members pay = 12 + 3x ------- eqn 1

Nonmembers pay ​$4 for each aerobics class

Nonmembers pay = 4x ------- eqn 2

For cost for members and nonmembers be the​ same, eqn 1 must be equal to eqn 2,

12 + 3x = 4x

4x - 3x = 12

x = 12

Thus for 12 number of aerobics classes, the cost for members and nonmembers will be same