Maddie took a rock-climbing course at Boulder Bend Rock Gym. In addition to the fee for the 8 classes she took, the rock gym charged her $65 for climbing gear that she gets to keep. Maddie paid a total of $137. How much does each class cost?

Let X be the cost of each class.

Maddie paid $65 + X * 8 = $137.
Thus, Maddie took $137 - $65 = $<<137-65=72>>72 on classes.
Then, each class costs $72 / 8 = $<<72/8=9>>9. Answer: \boxed{9}.

To find out how much each class costs, we need to subtract the cost of the climbing gear from the total amount Maddie paid.

Total amount Maddie paid = Cost of 8 classes + Cost of climbing gear

$137 = Cost of 8 classes + $65

Next, let's isolate the cost of 8 classes.

Cost of 8 classes = $137 - $65

Cost of 8 classes = $72

Finally, to find the cost of each class, we divide the cost of 8 classes by 8.

Cost of each class = Cost of 8 classes / Number of classes

Cost of each class = $72 / 8

Cost of each class = $9

Therefore, each class at Boulder Bend Rock Gym costs $9.

To find out how much each class cost, we can subtract the cost of the climbing gear from the total amount Maddie paid.

Total cost - Cost of climbing gear = Cost of classes

$137 - $65 = $72

Since Maddie took 8 classes, we can divide the cost of the classes by the number of classes she took.

Cost of classes / Number of classes = Cost per class

$72 / 8 = $9

Therefore, each class cost Maddie $9.