At a local fitness center, members pay a $6 membership fee and $3 for each aerobics class. Nonmembers pay $5 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?
Let's assume the number of aerobics classes as x.
For members, the total cost would be $6 (membership fee) + $3 (cost per class) * x (number of classes).
For nonmembers, the total cost would be $5 (cost per class) * x (number of classes).
Setting the two costs equal, we get:
$6 + $3x = $5x
Simplifying the equation, we get:
$6 = $2x
Dividing both sides by $2, we get:
3 = x
Therefore, for 3 aerobics classes, the cost for members and nonmembers will be the same.