Jeffrey purchased a card for $180 that gives him 20 visits to a new gym and includes a one-time fee for unlimited use of the sauna. after 5 visits, jeff has $123.75 left on the card, and after 11 visits, he has $74.25 left on the card. write an equation that jeffrey can use to determine the cost of each visit and the fee for the sauna use.

The value of the sauna fee is $ 15, while each visit to the gym is worth $ 8.25.

Since Jeffrey purchased a card for $ 180 that gives him 20 visits to a new gym and includes a one-time fee for unlimited use of the sauna, and after 5 visits, Jeff has $ 123.75 left on the card, and after 11 visits, he has $ 74.25 left on the card, to determine an equation that Jeffrey can use to determine the cost of each visit and the fee for the sauna use the following calculation must be performed:

The difference between the remaining sum after 5 visits and 11 visits should be obtained, and then divided by 6 to obtain the value of a visit to the gym. Then, you must multiply this result by 20, and subtract the result from the initial value of 180 to know the value of the sauna fee.

Therefore, the value of the sauna fee is $ 15, while each visit to the gym is worth $ 8.25.

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There is many ways to do this but i did it this way.

180-123.75= 56.25

56.25/5=11.25

=11.25