Angie an Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package and 2 months of game play. each software package cost $20. If their total cost is $115, what is the cost of one month of game play

One month of gameplay costs $15

Step-by-step explanation:

Angie: 20 + 3x

Kenny: 20 + 2x

(20 + 3x) + (20 + 2x) = 115 - - - add their costs together

(20 + 20) + (3x + 2x) = 115 - - - collect like terms

40 + 5x = 115 - - - simplify

5x = 75 - - - subtract 40 from both sides

x = 15 - - - divide both sides by 5