Question

At a local fitness center, members pay a $10 membership fee and $4 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?
Qu
Thus, for aerobics classes, the cost will be the same for members and nonmembers.
(Type a whole number.)

Answer 1

If both the members and nonmembers take 5 aerobics classes, they will have paid the same amount of money.

Explanation:

To solve this problem, we can create a chart:

Step One: Where x equals the number of aerobics classes,

Members Nonmembers

Cost in Dollars 10+3x 0+5x

Step Two: We create an equation to solve for x.

Member Cost=Nonmember Cost

10+3x= 0+5x

Step Three: Solve for x:

10+3x= 5x Subtract 3 from both sides

10=5x-3x Combine like terms

10=2x

5=x

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