At Silver Gym, membership is $35 a month and personal training sesdsions are $25 each. At Fit Factor membership is $75 a 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?
Total cost of Silver Gym = 35 + 25N where N is the number of sessions
Total cost of Fit Factor = 75 + 15N
To find out when the costs are equal....set the equations equal
35 + 25N = 75 + 15N subtract 15N from both sides
35 + 10N = 75 subtract 35 from both sides
10N = 40 divide both sides by 10
N = 4 sessions