Answer:
The cost of one month of game play is $12.
Step-by-step explanation:
We are given the following in the question:
Cost of software package = $30
Let y dollars be the cost of one month of game play.
Angie buys 1 software package and 2 months of game play.
Angie's cost =
[tex]1(30) + 2y = 2y + 30[/tex]
Kenny buys 1 software package and 4 months of game play.
Kenny's cost =
[tex]1(30) + 4y = 4y + 30[/tex]
Total cost = $132
Thus, we can write the equation:
[tex](2y+30)+(4y+30) = 132\\6y + 60 = 132\\6y = 132-60\\6y = 72\\\Rightarrow y = 12[/tex]
Thus, the cost of one month of game play is $12.