At Silver Gym, membership is $40 per month, and personal training sessions are $35 each. At Fit Factor, membership is $80 per month, and personal training sessions are $25 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
personal training sessions to make the total cost at the two gyms equal.

Question

At Silver Gym, membership is $40 per month, and personal training sessions are $35 each. At Fit Factor, membership is $80 per month, and personal training sessions are $25 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 
 personal training sessions to make the total cost at the two gyms equal.

Mercury · Answer

let's let x = the # of training sessions

Silver Gym: sessions are 35 each, so for (x) sessions the cost is 35*x. Add on the 40 per month flat membership fee to get (35x + 40)

similar logic with Fit Factor (25x + 80)

set the two equations equal to each other and solve for x