It a local fitness center, members pay a S14 membership fee and S5 for each aerobics class. Nonmembers pay $6 for each aerobics class. For what number of aerobics lasses will the cost for members and nonmembers be the same?

Answer 1

Let's represent the number of aerobics classes as x.

For members:
Cost for membership = $14
Cost per aerobics class = $5
Total cost for members = 14 + 5x

For nonmembers:
Cost per aerobics class = $6
Total cost for nonmembers = 6x

To find the number of aerobics classes where the cost is the same for members and nonmembers, we set the two equations equal to each other and solve for x:

14 + 5x = 6x

Simplifying the equation:
14 = x

Therefore, when the number of aerobics classes is 14, the cost for members and nonmembers will be the same.