Question

1.1.22Question HelpAngie and Kenny play online video games. Angie buys 1 software package and 3 months of game play, Kenny buys 2 software packages and 2 months of gameplay. Each software package costs $25. If their total cost is $125, what is the cost of one month of game play?

Answer 1

We have a system of linear equations:

Let S be the price of software package and M be the price of the month of game play.

Angie buys 1 software package and 3 months of gameplay, while Kenny buys 2 software packages and 2 months of game play. The total cost for them is $125.

We can write this as:

`\begin{gathered} (1S+3M)+(2S+2M)=125 \\ 3S+5M=125 \end{gathered}`

We also know that each software package cost $25. This can be written as:

`S=25`

We can replace this last equation in the first one, and calculate M:

`\begin{gathered} 3S+5M=125 \\ 3(25)+5M=125 \\ 75+5M=125 \\ 5M=125-75 \\ 5M=50 \\ M=(50)/(5) \\ M=10 \end{gathered}`

The cost of one month of game play is $10.