Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play. Kenny buys 1 software package and smooths of she play. Each software package costs $50. If the soul het is $244, what in 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 assume the cost of one month of gameplay is x dollars.
Angie's total cost is $50 (software package) + 2x (2 months of gameplay) = $50 + 2x
Kenny's total cost is $50 (software package) + 5x (5 months of gameplay) = $50 + 5x
The total cost for both of them is given as $244, so we can set up the equation:
$50 + 2x + $50 + 5x = $244
Simplifying the equation, we get:
7x + $100 = $244
Subtracting $100 from both sides:
7x = $144
Dividing both sides by 7:
x = $20.
Therefore, the cost of one month of gameplay is $20.
To find the cost of one month of game play, we can start by noting that Angie buys 1 software package and 2 months of game play, while Kenny buys 1 software package and smooths of what Angie buys. Let's break down their expenses:
Angie:
1 software package: $50
2 months of game play: ?
Kenny:
1 software package: $50
Smoothes of what Angie buys: 2 months of game play
Now, we know that the total cost of their purchases is $244. Therefore, we can set up the equation:
Angie's expenses + Kenny's expenses = Total cost
(50 + 2x) + (50 + 2x) = 244
Since both Angie and Kenny bought 1 software package each, the cost of the software package is the same for both of them, which is $50. The unknown we need to find is x, the cost of one month of game play.
Now, let's solve the equation:
50 + 2x + 50 + 2x = 244
100 + 4x = 244
4x = 144
x = 36
Thus, the cost of one month of game play is $36.
Let's assume the cost of one month of game play is x.
According to the given information, Angie buys 1 software package for $50 and 2 months of game play. So, she spends $50 for the software package and 2x for the game play.
Similarly, Kenny buys 1 software package for $50 and some number of months of game play, which we'll call y. So, he spends $50 for the software package and yx for the game play.
The total spent by Angie and Kenny together is $244. Therefore, we can write the equation as follows:
50 + 2x + 50 + yx = 244
Combining like terms:
2x + yx = 244 - 100
3x + yx = 144
Factoring out the common factor on the left side:
x(3 + y) = 144
Now, we have an equation in terms of x and y. However, we need to find the value of x, which represents the cost of one month of game play. To isolate x, we divide both sides of the equation by (3 + y):
x = 144 / (3 + y)
So, the cost of one month of game play is 144 / (3 + y).