Question

you plan to join a gym near your new home. universe fitness will charge you $250/year plus an additional $3.50 per fitness class you attend. silver's gym charges $400/year but only $2 per fitness class. find the number of fitness class you would need to attend in a year for the cost of both gyms to be the same. what would be the cost of using either gym at that point?

Answer 1

The number of fitness classes is 100 and the cost is $600.

Explanation:

Let the number of fitness class is x.

For attending Universe fitness the cost for the whole year will be
`250 + 3.50x`

Silver gym will charge
`400 + 2x` in total.

Since, these costs are same

`400 + 2x = 250 + 3.50x\\150 = 1.5x\\x = 100`

Hence, the desired number is 100.

For both gym the cost is same to attend 100 classes.

Hence we can calculate the cost from either of them.

The cost is
`400 + 2 *100 = 600`