Angie and Kenny play online video games. Angie buys 1 software and 3 months of game play. Kenny buys 1 software and 5 months of game play. Each software package costs $50. If their total cost is $236, what is the cost of one month of game play?
Let x be the cost of one month of gameplay.
Angie spends 50+3x dollars.
Kenny spends 50+5x dollars.
Their total cost is 236 dollars.
50+3x+50+5x=236
100+8x=236
8x=136
x=$<<17=17>>17. Answer: \boxed{17}.
Let's start by setting up an equation to solve this problem.
Let's assume the cost of one month of game play is 'x'.
Angie buys 1 software and 3 months of game play, so her total cost would be:
$50 (software) + 3x (3 months of game play) = $50 + 3x
Kenny buys 1 software and 5 months of game play, so his total cost would be:
$50 (software) + 5x (5 months of game play) = $50 + 5x
Adding Angie's and Kenny's total cost together, we get:
$50 + 3x + $50 + 5x = $236
Simplifying the equation:
2x + $100 = $236
Subtracting $100 from both sides of the equation:
2x = $236 - $100
2x = $136
Dividing both sides of the equation by 2:
x = $136 / 2
x = $68
Therefore, the cost of one month of game play is $68.