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?
Accepted Solution
A:
Answer:The cost of one month of game play is $16Step-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