Answer :
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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