Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package and 2 months of game play. Each software package costs $20. If their total cost is $115, what is the total cost of one month of game play

Angie buys

1 Software package + 3 months of game play.

Each software package costs = $20.

Let us assume cost of one month of game play = $x.

Therefore, total cost to Angie for 1 Software package + 3 months of game play = 20*1 + 3x = 20 + 3x.

Kenny buys

1 software package + 2 months of game play.

Therefore, total cost to Kenny for 1 software package + 2 months of game play = 20*1 + 2*x = 20+2x.

Their total cost = $115.

Adding their costs and set it equal to 115, we get

20 + 3x + 20+2x = 115.

Now, we need to solve it for x.

40 + 5x = 115.

5x = 115 - 40.

5x = 75.

Dividing both sides by 5, we get

x = 15.

Therefore, $15 is the total cost of one month of game play.