Question

At Silver Gym, membership is $35 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?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms

Answer 1

5 sessions each

Explanation:

Let the personal training sessions be x.

Then at Silver Gym Sarah would spend:

• 35 + 30x

And at Fit Factor she would spend:

• 85 + 20x

Since total costs are same, the amounts will be equal:

• 35+30x = 85 + 20x
• 30x - 20x = 85 - 35
• 10 x = 50
• x= 50/10
• x= 5

So Sarah would buy 5 training sessions for each of the gyms.

And she would spend $185 at each.