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11 June, 19:34

Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play. Kenny buys 2 software packages and 5 months of game play. Each software package costs $25. If their total cost is $187 , what is the cost of one month of game play?

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  1. 11 June, 19:45
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    The cost of one month of game play is $16

    Step-by-step explanation:

    * Lets change the information in the problem to equation and solve it

    - Angie and Kenny play online video games

    - Angie buys 1 software package and 2 months of game play

    - Kenny buys 2 software packages and 5 months of game play

    - Each software package costs $25

    - Their total cost is $187

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

    * Lets find the cost of Angie buying and the cost of Kenny buying

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

    ∵ The cost of each software package is $25

    ∵ The cost of each month of game play is $x

    ∵ Angie buys 1 software package and 2 months of game play

    ∴ The cost of Angie buying = 25 + 2x

    ∵ Kenny buys 2 software packages and 5 months of game play

    ∴ The cost of Kenny buying = 2 (25) + 5x = 50 + 5x

    - The total cost is the sum of the costs of Angie buying and

    Kenny buying

    ∵ The total cost is $187

    ∴ 25 + 2x + 50 + 5x = 187

    - Add like terms

    ∴ 7x + 75 = 187

    - Subtract 75 from both sides

    ∴ 7x = 112

    - Divide both sides by 7

    ∴ x = 16

    ∵ x represents the cost of one month of game play

    ∴ The cost of one month of game play is $16
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