At a local fitness​ center, members pay ​$ membership fee and ​$ for each aerobics class. Nonmembers pay ​$ for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the​ same?

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Answer:

Answer:

Thus, for 10 aerobics classes, the cost will be the same for members and nonmembers.

Step-by-step explanation:

Let the cost for members and nonmembers will be the same for x numbers of aerobics classes.

It is given that members pay $5 for each aerobics class and a $10 for the membership fee and nonmembers pay $6 for each aerobics class.

So, we can write  

10 + 5x = 6x

⇒ x = 10

Thus, for 10 aerobics classes, the cost will be the same for members and nonmembers.

Step-by-step explanation: