Question

At a local fitness, members pay a $6 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

4 classes

Explanation:

1. Write an equation for the cost for both members and nonmembers, in which x is the number of aerobics classes.

Cost = 3x + 6 for members

Cost = 4x for nonmembers

2. Set the equations to equal each other and solve.

3x + 6 = 4x

-3x -3x

6 = x

3. Check your answer

4*6 = 24

(3*6) + 6 = 24

For 4 aerobics classes, the cost for members and nonmembers is the same.