Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package and 2 months of game play. Each software package costs ​$35. If their total cost is ​$120​, what is the cost of one month of game​ play?

Question

The cost of one month of game play is ​$____

Answer 1

Let's find the individual cost of a software package first.
Let's assume the cost of one month of game play is x dollars.
So, the cost of one software package is 35 dollars.
Angie buys 3 months of game play, so she spends 3x dollars on game play.
Hence, Angie spends 3x + 35 dollars on software and game play.
Kenny buys 2 months of game play, so he spends 2x dollars on game play.
Hence, Kenny spends 2x + 35 dollars on software and game play.
The total cost of software and game play is 120 dollars, so we can write the equation:
3x + 35 + 2x + 35 = 120
Combining like terms, we get:
5x + 70 = 120
Subtracting 70 from both sides, we get:
5x = 50
Dividing both sides by 5, we get:
x = 10
Therefore, the cost of one month of game play is 10 dollars.