Angie and Kenny play online video games. Angie buys 2 software and 2 months of game play. Kenny buys 1 software package and 4 months of game play. Each software package costs ​$25. If their total cost is ​$147​, what is the cost of one month of game​ play?

Answer 1

Let x be the cost of one month of game play.
Angie's cost for game play is 2x.
Kenny's cost for game play is 4x.
Angie's cost for software is $25 * 2 = $<<25*2=50>>50.
Kenny's cost for software is $25 * 1 = $<<25*1=25>>25.
The total cost for Angie and Kenny is Angie's cost for game play + Kenny's cost for game play + Angie's cost for software + Kenny's cost for software = 2x + 4x + $50 + $25.
The total cost for Angie and Kenny is 6x + $75 = $147.
So the cost of one month of game play is 6x = $147 - $75 = $<<147-75=72>>72.
Hence, the cost of one month of game play is $72 / 6 = $<<72/6=12>>12. Answer: \boxed{12}.