Angie and Kenny play online video games. Angie buys 2 software and 2 moths of game play. Kenny buys 1 software and 1 month of game play. Each software package costs ​$50 If their total cost is ​$210​, what is the cost of one month of game​ play?

Answer 1

Let's say the cost of one month of game play is x.
The total cost of Angie's software packages is 2*50 = $<<2*50=100>>100
Angie's cost for game play is 2*x = $<<2*x=2x>>2x
The total cost for game play is 100+2x = $<<100+2*x=100+2x>>100+2x.
Kenny's total cost for software is 1*$50 = $<<1*50=50>>50
Kenny's cost for game play is 1*x = $<<1*x=x>>x
Kenny's total cost of game play and software is $50+x = $<<50+x=50+x>>50+x.
The total cost for game play and software is 50+x+100+2x = $210
Combining like terms shows that 3x+150=210.
Subtracting 150 from both sides of the equation gives 3x=210-150=60
Dividing both sides by 3 gives x=60/3=<<60/3=20>>20. Answer: \boxed{20}.