Angie and Kenny play online video games. Angie buys 2 software and 2 months of game play. Kenny buys 1 software package and 4 months of game play. Each software package costs $25. If their total cost is $147, what is the cost of one month of game play?
Let x be the cost of one month of game play.
Angie's cost for game play is 2x.
Kenny's cost for game play is 4x.
Angie's cost for software is $25 * 2 = $<<25*2=50>>50.
Kenny's cost for software is $25 * 1 = $<<25*1=25>>25.
The total cost for Angie and Kenny is Angie's cost for game play + Kenny's cost for game play + Angie's cost for software + Kenny's cost for software = 2x + 4x + $50 + $25.
The total cost for Angie and Kenny is 6x + $75 = $147.
So the cost of one month of game play is 6x = $147 - $75 = $<<147-75=72>>72.
Hence, the cost of one month of game play is $72 / 6 = $<<72/6=12>>12. Answer: \boxed{12}.
Let's break down the information given:
Angie's purchases:
- Software packages: 2
- Months of game play: 2
Kenny's purchases:
- Software packages: 1
- Months of game play: 4
Cost of each software package: $25
Total cost: $147
To find the cost of one month of game play, let's calculate the total cost of the software packages first:
Angie's total cost for software packages: 2 × $25 = $50
Kenny's total cost for software packages: 1 × $25 = $25
Now let's calculate the total cost of the game play:
Angie's total cost for game play: 2 months × cost per month = 2 × cost per month
Kenny's total cost for game play: 4 months × cost per month = 4 × cost per month
Since the total cost of Angie's purchases is $147, we can write the equation:
$50 + 2 × cost per month + 4 × cost per month = $147
Combine like terms:
$50 + 6 × cost per month = $147
Subtract $50 from both sides:
6 × cost per month = $147 - $50
6 × cost per month = $97
Divide both sides by 6:
cost per month = $97 ÷ 6
cost per month ≈ $16.17
Therefore, the cost of one month of game play is approximately $16.17.
To find the cost of one month of game play, we can break down the given information and the total cost.
Let's denote the cost of one month of game play as 'x'.
Angie buys 2 software packages, and each package costs $25. So, the cost of Angie's software is 2 * $25 = $50.
Kenny buys 1 software package, which also costs $25.
Angie also buys 2 months of game play, so her total cost for game play is 2 * x.
Kenny buys 4 months of game play, so his total cost for game play is 4 * x.
Therefore, Angie and Kenny's total cost is $50 (software cost) + 2*x (Angie's game play cost) + $25 (software cost) + 4*x (Kenny's game play cost).
This can be simplified as:
$50 + 2*x + $25 + 4*x = $147
Combining like terms, we have:
6*x + $75 = $147
Next, we will isolate the variable on one side of the equation. Subtract $75 from both sides:
6*x = $147 - $75
6*x = $72
Finally, divide both sides by 6 to solve for x:
x = $72 / 6 = $12
Therefore, the cost of one month of game play is $12.