Question

Angie and Kenny play online video games. Angie buys 1 software package and 1 month of game play. Kenny buys 1 software package and 3 months of game play. Each software package costs ​$20. If their total cost is ​$96​, what is the cost of one month of game​ play?

Answer 1

The cost of one month of game play is $14

Step-by-step explanation:

Angie and Kenny play online video games

• Angie buys 1 software package and 1 month of game play
• Kenny buys 1 software package and 3 months of game play
• Each software package costs ​$20
• If their total cost is ​$96

We need to find the cost of one month of game play

∵ Angie buys 1 software package

∵ Kenny buys 1 software package

∵ Each software package costs ​$20

- Find the total cost of their software package

∴ The total cost of their software package = 20 × 1 + 20 × 1

∴ The total cost of their software package = 20 + 20 = 40

∴ The total cost of their software package is $40

Assume that the cost of one month of game​ play is $x

∵ The cost of one month of game​ play = x

∵ Angie buys 1 month of game play

∵ Kenny buys 3 months of game play

- Find the total cost of their game​ play

∴ The total cost of their game play = x × 1 + x × 3

∴ The total cost of their game play = x + 3x = 4x

∴ The total cost of their game play is $4x

∵ Their total cost is ​$96

- Add the costs of their software package and their game

   play and equate the sum by 96

∴ 40 + 4x = 96

- Subtract 40 from both sides

∴ 4x = 56

- Divide both sides by 4

∴ x = 14

The cost of one month of game play is $14

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