Question

Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play. Kenny buys 1 software package and 4 months of game play. Each software package costs ​$30. If their total cost is ​$132​, what is the cost of one month of game​ play?

Answer 1

The cost of one month of game​ play is $12.

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 =

`1(30) + 2y = 2y + 30`

Kenny buys 1 software package and 4 months of game play.

Kenny's cost =

`1(30) + 4y = 4y + 30`

Total cost = $132​

Thus, we can write the equation:

`(2y+30)+(4y+30) = 132\\6y + 60 = 132\\6y = 132-60\\6y = 72\\\Rightarrow y = 12`

Thus, the cost of one month of game​ play is $12.