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?
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}.
Let's assume the cost of one month of game play is x dollars.
According to the given information:
Angie buys 2 software packages, so she spends 2 * $50 = $100 on software.
Angie also buys 2 months of game play, so she spends 2 * x = 2x dollars on game play.
Kenny buys 1 software package, so he spends 1 * $50 = $50 on software.
Kenny also buys 1 month of game play, so he spends 1 * x = x dollars on game play.
The total cost of their purchases is $210, so we can write the equation:
$100 + 2x + $50 + x = $210.
Combining like terms:
$150 + 3x = $210.
Subtracting $150 from both sides:
3x = $60.
Dividing both sides by 3:
x = $20.
Therefore, the cost of one month of game play is $20.