Angie and Kenny play online video games. Angie buys 1 software package and 1 month of game play. Kenny buys 2 software packages and 3 months of game play. Each software package costs ​$30. If their total cost is ​$166​, what is the cost of one month of game​ play?

Let's define variables to solve this problem:

- Let $ x $ be the cost of one month of gameplay.
- The cost of a software package is $30.

We can now write two equations based on the information provided:

1. **Angie's purchase**:  
   Angie buys 1 software package and 1 month of gameplay, so her total cost is:  
   \[
   30 + x
   \]
   
2. **Kenny's purchase**:  
   Kenny buys 2 software packages and 3 months of gameplay, so his total cost is:  
   \[
   2(30) + 3x = 60 + 3x
   \]
   
The total cost for both Angie and Kenny together is $166, so we can write the equation:  
\[
(30 + x) + (60 + 3x) = 166
\]

Now, let's solve this equation step-by-step.

1. Combine like terms:
   \[
   30 + x + 60 + 3x = 166
   \]
   \[
   90 + 4x = 166
   \]

2. Subtract 90 from both sides:
   \[
   4x = 76
   \]

3. Divide by 4:
   \[
   x = \frac{76}{4} = 19
   \]

So, the cost of one month of gameplay is **$19**.

Would you like more details or have any other questions?

Here are 5 related questions to expand your understanding:

1. If Angie bought 3 months of gameplay, how much would she pay?
2. How much would Kenny pay if he only bought one software package and one month of gameplay?
3. What would the total cost be if Kenny bought 4 months of gameplay instead of 3?
4. How much would both Angie and Kenny pay if the software package price increased to $40?
5. How would the total cost change if Angie and Kenny both bought 5 months of gameplay?

**Tip**: When solving for unknowns, writing equations from the given information is a powerful strategy to find the solution.

Angie and Kenny play online video games. Angie buys 1 software package and 1 month of gameplay. Kenny buys 2 software packages and 3 months of gameplay. Each software package costs $30. If their total cost is $166, what is the cost of one month of gameplay?

Learn how to calculate the cost of one month of gameplay by solving a system of linear equations. This problem involves key algebraic concepts and is suitable for students in Grades 6-8.

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