At silver Gym, membership is $45 per month, and personal training sessions are $25 each. At fit factor, membership is $75 per month, and personal training sessions are $15 each. In one month, how many personal training sessions would Sarah have to buy to make the total 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.