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 game play is x.
Angie buys 1 software package for $50 and 2 months of game play for 2*x.
Kenny buys 1 software package for $50 and s months of game play for s*x.
The total cost is $244.
Therefore, the equation is:
50 + 2x + 50 + sx = 244.
Combining like terms:
2x + sx + 100 = 244.
Combining x terms:
3x + 100 = 244.
Subtracting 100 from both sides:
3x = 144.
Dividing by 3:
x = 48.
So, the cost of one month of game play is $48.
Let's assign variables to the unknown quantities:
Let x be the cost of one month of game play.
According to the given information:
Angie buys 1 software package ($50) and 2 months of game play.
So, Angie spends 50 + 2x dollars.
Kenny buys 1 software package ($50) and smooths of she play.
Let's assume "smooths" means "some multiple".
So, Kenny spends 50 + kx dollars, where k is a positive integer.
The total cost is given as $244:
50 + 2x + 50 + kx = 244
Combining like terms, we have:
100 + (2 + k)x = 244
Now, solve for x:
(2 + k)x = 244 - 100
(2 + k)x = 144
x = 144 / (2 + k)
Therefore, the cost of one month of game play is 144 / (2 + k).