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At a local fitness center, members pay a $20 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?

Answer :

carlosego

For this case, the first thing we should do is define a variable.

We have then:

x: number of classes

We now write the equations that model the problem:

With membership:

members pay a $ 20 membership fee and $ 3 for each aerobics class:

[tex]3x + 20[/tex]

Without membership:

Nonmembers pay $ 5 for each aerobics class:

[tex]5x[/tex]

Then, by equating both equations we have:

[tex]3x + 20 = 5x[/tex]

Clearing x we have:

[tex]5x-3x = 20\\2x = 20\\x = \frac {20} {2}\\x = 10[/tex]

Answer:

The number of aerobics classes that the cost for members and nonmembers will be the same is:

[tex]x = 10[/tex]

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