Answer:
The cost of one month of game play is $16
Step-by-step explanation:
* <em>Lets change the information in the problem to equation and solve it</em>
- 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
* <em>Lets find the cost of Angie buying and the cost of Kenny buying</em>
- 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
