Question

At Silver Gym, membership is $45 per month, and personal training sessions are $30 each. At Fit Factor, membership is $85 per month, and personal training sessions are $20 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Answer 1

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Let S represent the cost of use of Silver Gym for a month.

Let F represent the cost of use of Fit Factor for a month.

Let T represent the number of training sessions used in the month.

S = 45 +25T

F = 75 +15T

We want to find T so the costs are equal.

.. S = F

.. 45 +25T = 75 +15T

.. 10T = 30 . . . . . . . . . subtract 45+15T

.. T = 3 . . . . . . . . . . . . divide by 10

Sarah would have to buy 3 training sessions to make the cost at the two gyms equal.

Answer 2

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Let S represent the cost of use of Silver Gym for a month.

Let F represent the cost of use of Fit Factor for a month.

Let T represent the number of training sessions used in the month.

S = 45 +25T

F = 75 +15T

We want to find T so the costs are equal.

.. S = F

.. 45 +25T = 75 +15T

.. 10T = 30 . . . . . . . . . subtract 45+15T

.. T = 3 . . . . . . . . . . . . divide by 10

Sarah would have to buy 3 training sessions to make the cost at the two gyms equal

Let S represent the cost of use of Silver Gym for a month.

Let F represent the cost of use of Fit Factor for a month.

Let T represent the number of training sessions used in the month.

S = 45 +25T

F = 75 +15T

We want to find T so the costs are equal.

.. S = F

.. 45 +25T = 75 +15T

.. 10T = 30 . . . . . . . . . subtract 45+15T

.. T = 3 . . . . . . . . . . . . divide by 10

Sarah would have to buy 3 training sessions to make the cost at the two gyms equal.