Question

Angie and Kenny play online video games. Angie buys 1 software package and 4 months of game play. Kenny buys 1 software package and 6 months of game play. Each software package costs $45. If their total cost is $190, what is the cost of one month of game play?

Answer 1

The cost of one month of game play is $10.

Step-by-step explanation:

To find the cost of one month of game play, we need to determine the cost of 1 software package and the total cost of the game play. Let's break it down:

Angie's purchase: 1 software package + 4 months of game play = 1 * $45 + 4 * X

Kenny's purchase: 1 software package + 6 months of game play = 1 * $45 + 6 * X

Given that Angie and Kenny's total cost is $190, we can set up the following equation:

1 * $45 + 4 * X + 1 * $45 + 6 * X = $190

Combining like terms:

2 * $45 + 10 * X = $190

Simplifying further:

$90 + 10 * X = $190

Subtracting $90 from both sides:

10 * X = $100

Dividing both sides by 10:

X = $10

So the cost of one month of game play is $10.