Angie and Kenny play online video games. Angie buys 2 software packages and 2 months of game play. Kenny buys 1 software package and 6 months of game play. Each software package costs ​$50. If their total cost is ​$294, what is the cost of one month of game​ play?

Question

The cost of one month of game play is ​$

Answer 1

Let's assume the cost of one month of gameplay is x dollars.
Angie buys 2 software packages, which cost $50 each, so she spends 2*50 = $<<2*50=100>>100 on software packages.
Angie also purchases 2 months of gameplay, which costs her 2*x = $2x.
Kenny buys 1 software package, which costs $50.
Kenny also purchases 6 months of gameplay, which costs him 6*x = $6x.
So the total cost of their purchases is 100 + 2x + 50 + 6x = 294.
Combining like terms, we get 8x + 150 = 294.
Subtracting 150 from both sides, we get 8x = 144.
Dividing both sides by 8, we get x = 18.
Therefore, the cost of one month of gameplay is $18. Answer: \boxed{18}.