24 Hour Fitness charges $55 for a sign-up fee plus $30 per month to join their gym. Tim has paid $175 for his gym membership so far. How many months has he been a member at 24 Hour Fitness?

Tim has he been a member at 24 Hour Fitness for 4 months.

Step-by-step explanation:

Let x represent the number of hours for which Tim has been a member at 24 Hour Fitness.

24 Hour Fitness charges $55 for a sign-up fee plus $30 per month to join their gym. This means that the total amount that 24 Hour Fitness charges for x months would be

30x + 55

Tim has paid $175 for his gym membership so far. This means that

30x + 55 = 175

30x = 175 - 55

30x = 120

x = 120/30

x = 4