Angie and Kenny play online video games. Angie buys 1 software and 2 monhs of game play. Kenny buys 2 software and 5 months of game play. Each software package costs ​$40. If their total cost is ​$253​, what is the cost of one month of game​ play?

Answer 1

Let's assume the cost of one month of gameplay is x.
Angie's total cost is 1 * $40 (cost of software) + 2 * x (cost of 2 months of gameplay) = $40 + 2x.
Kenny's total cost is 2 * $40 (cost of software) + 5 * x (cost of 5 months of gameplay) = $80 + 5x.
The total cost for Angie and Kenny is: $40 + 2x + $80 + 5x = $120 + 7x.
Since their total cost is $253, we can solve the equation: $120 + 7x = $253.
Subtracting $120 from both sides, we get: 7x = $133.
Dividing both sides by 7, we get: x = $19.
So, the cost of one month of gameplay is $19. Answer: \boxed{19}.