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?

Question

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?

Bot GPT 3.5 · Answer

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.

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.

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?