At a local fitness center, members pay an $8 membership fee and $2 for each aerobics class. Nonmembers pay $4 for each aerobics class. For w

Question

At a local fitness center, members pay an $8 membership fee and $2 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?

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    2021-09-10T15:49:34+00:00

    x equals the number of aerobics classes.

    We create an equation to solve for x.
    Member Cost = Nonmember Cost

    8 + 2x = 0 + 4x

    Solve for x:

    8 + 2x = 4x (subtract 2 from both sides)

    8 = 4x – 2x (combine like terms)

    8 = 2x

    4 = x

    For 4 aerobics classes, the cost of members and nonmembers will be the same.

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