Angie and Kenny play online video games. Angie buys 2 software packages and 3 months of game play. Kenny buys 2 software packages and 2 months of game play. Each software package costs $45. if their total cost is $245, what is the cost of one month of game play? The cost of one month of game play is $ (Type an integer or a decimal)
Let's solve this step-by-step:
Step 1: Determine the cost of the software packages.
Since Angie and Kenny each buy 2 software packages, the total cost of the software packages is 2 * 2 * $45 = $<<2*2*45=180>>180.
Step 2: Determine the cost of the game play.
Angie purchases 3 months of game play, and Kenny purchases 2 months. So the total cost of the game play is 3 * x + 2 * x = 5x, where x is the cost of one month of game play.
Step 3: Write an equation for the total cost.
The total cost of the software packages and game play is given as $245. So we can write the equation 180 + 5x = 245.
Step 4: Solve the equation.
Subtract 180 from both sides of the equation: 5x = 245 - 180 = 65.
Divide both sides of the equation by 5: x = 65 / 5 = <<65/5=13>>13.
Step 5: Determine the cost of one month of game play.
Therefore, the cost of one month of game play is $13.
The cost of one month of game play is $13.
Let's start by calculating the total cost of the software packages. Angie and Kenny both bought 2 software packages, so the total cost of the software packages is 2 * 2 * $45 = $<<2*2*45=180>>180.
To find the cost of one month of game play, we subtract the cost of the software packages from the total cost: $245 - $180 = $<<245-180=65>>65.
Therefore, the cost of one month of game play is $65.