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 the cost of each class be denoted by $ x $.

Maddie paid $65 for climbing gear, and the total amount she paid is $137. Therefore, the equation for the total cost is:

\[
8x + 65 = 137
\]

To solve for $ x $, first subtract 65 from both sides:

\[
8x = 137 - 65
\]
\[
8x = 72
\]

Now, divide both sides by 8:

\[
x = \frac{72}{8} = 9
\]

So, each class costs **$9**.

Would you like further explanation or have any questions? Here are five related questions for deeper understanding:

1. How would the equation change if Maddie took 10 classes instead of 8?
2. What if the cost of the climbing gear increased to $80? How would that affect the class cost?
3. How much would Maddie pay if she took 5 more classes at the same rate?
4. What percentage of the total cost was spent on the climbing gear?
5. If Maddie had a discount on the classes, how would you model that in the equation?

**Tip:** Always isolate the variable by performing inverse operations step by step when solving equations.

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?

Learn how to calculate the cost of each class Maddie took at Boulder Bend Rock Gym using linear equations. This problem involves solving a basic algebraic equation and is suitable for students in Grades 6-8. Key data points include Maddie's total payment of $137, which includes $65 for climbing gear and the fee for 8 classes.

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