Angie and Kenny play online video games. Angie buys 1 software package and 1 month of game play. Kenny buys 2 software packages and 2 months of game play. Each software package costs $45. If their total cost is $168, what is the cost of one month of game play?
Let x be the cost of one month of game play.
Angie spends 45 + x dollars.
Kenny spends 2(45) + 2x = 90 + 2x dollars
The total spent is 45 + x + 90 + 2x = 3x + 135 dollars.
And 3x + 135 = 168 dollars.
So, the cost of one month of game play is (168 - 135)/3 = <<(168-135)/3=11>>11 dollars. Answer: \boxed{11}.
Let's assume the cost of one month of game play is "x" dollars.
According to the given information, Angie buys 1 software package and 1 month of game play, which costs $45 + x dollars.
Kenny buys 2 software packages and 2 months of game play, which costs (2 * $45) + (2 * x) dollars.
The total cost for Angie and Kenny is $168.
So we can set up the equation:
(1 * $45 + x) + (2 * $45 + 2x) = $168.
Now, we can simplify the equation:
$45 + x + $90 + 2x = $168.
Combining like terms:
$135 + 3x = $168.
Subtracting $135 from both sides:
3x = $168 - $135.
3x = $33.
Dividing both sides by 3:
x = $33 / 3.
x = $11.
Therefore, the cost of one month of game play is $11.
To solve this problem, we will use algebraic equations. Let's denote the cost of one month of gameplay as "x".
According to the problem:
Angie buys 1 software package and 1 month of gameplay.
Kenny buys 2 software packages and 2 months of gameplay.
The cost of each software package is $45. So, Angie spends $45 on software and x dollars on one month of gameplay.
Similarly, Kenny spends $45 x 2 = $90 on software and x dollars x 2 = 2x dollars on two months of gameplay.
Thus, the total cost of Angie and Kenny's purchases is $45 + x + $90 + 2x = $168.
Combining like terms, we have 3x + $135 = $168.
Subtracting $135 from both sides of the equation, we get 3x = $168 - $135.
Simplifying, we have 3x = $33.
Finally, dividing both sides of the equation by 3, we find that x = $11.
Therefore, the cost of one month of gameplay is $11.