At a local fitness center, members pay an $8 membership fee and $3 for each aerobics class. Nonmembe

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At a local fitness center, members pay an $8 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 be equal to nonmembers?

Set up two cost equations C(x):

1. Members: C(x) = 8 + 3x
2. Nonmembers: C(x) = 5x

Set the two cost equations equal to each other:
8 + 3x = 5x

Subtract 3x from each side
2x = 8

Divide each side by 2
x = 4