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?

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