Angie and Kenny play online video games. Angie buys 2 software and 3 months of game play. Kenny buys 2 software packages and 2 months of game play. Each software package costs ​$30. If their total cost is ​$​215, what is the cost of one month of game​ play?

Answer 1

Let the cost of one month of gameplay be x.
Angie's cost for the software packages is 2*$30 = $<<2*30=60>>60.
Angie's cost of gameplay is 3*x = $<<3*x=3x>>3x.
Kenny's cost for software packages is 2*$30 = $<<2*30=60>>60.
Kenny's game play cost is 2*x = $<<2*x=2x>>2x.
With a total cost of $215, we have the equation 60 + 3x + 60 + 2x = 215
Combining like terms, we get 5x + 120 = 215
Subtracting 120 from both sides, we get 5x = 215 - 120 = 95
Dividing through by 5, we solve for x: x = 95/5 = $<<95/5=19>>19.
One month of gameplay costs $19. Answer: \boxed{19}.