Question

At Silver Gym, membership is $25 per month, and personal training sessions are $45 each. At Fit Factor, membership is $85 per month, and personal training sessions are $35 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

6 training sessions.

Explanation:

Let there be x training sessions at both the gyms.

At silver gym,

Total cost = membership + personal training session

= 25+45x ...(1)

At Fit Factor,

Total cost = 85+35x ....(2)

If the total cost at the two gyms equal,

25+45x=85+35x

Taking like terms together,

45x-35x=85-25

10x=60

x = 6

Hence, Sarah must buy 6 training sessions.