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?

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Let X be the cost per class.

There are 8 classes, so 8X is the cost of the classes.
The rock gear costs $65, so the total cost is 8X + $65 = $137.
Thus 8X = $137 - $65 = $72.
So the cost per class is X = $72 / 8 = $<<72/8=9>>9. Answer: \boxed{9}.

To find out how much each class costs, we need to subtract the cost of climbing gear from the total amount Maddie paid and then divide the remaining amount by the number of classes she took.

Total cost - Cost of climbing gear = Cost of classes

$137 - $65 = $72

Now, we divide the cost of classes by the number of classes:

$72 ÷ 8 = $9

Therefore, each class costs $9.

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

Total amount paid - 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 to find out the cost of each class.

Cost of classes / Number of classes = Cost per class

$72 / 8 = $9

Therefore, each class costs $9.