Tom is deciding whether or not he should become a member of the gym to use their basketball courts. The membership cost is $125. Members pay $3 to rent out the basketball courts. How many times can Tom play basketball if he wants to spend no more than $200?
Let x be the number of times Tom can play basketball.
The total cost of playing basketball is 3x dollars.
The total cost is less than or equal to 200 dollars so 3x <= 200
Divide both sides by 3: x <= 200/3
So, Tom can play basketball at most 200/3 times.
Since x cannot be a fraction, Tom can play basketball at most 200/3 = <<200/3=66.66666666666667>>66.67 times.
Since x has to be a whole number, Tom can play basketball at most 66 times. Answer: \boxed{66}.