Gym members pay $3 per workout with a one-time membership fee of $98. Nonmembers pay $10 per workout. How many workouts would both a member

Let N be the number of workouts

So we want to find when....

3N + 98  = 10N    subtract 3N from both sides

98 = 7N    divide by 7 on both sides

14 = N

So...they will pay the same after 14 workouts.....