Angie and kenny play online video games. Angle buys 1 software package and 3 months of game play. Kenny buys 1 software package and 5 month of game play. Each software package costs $50. if their total cost is $212, what is the cost of one month of game play?
Let's assume the cost of one month of game play is x dollars.
Angie buys 1 software package for $50, which means she spends $50 on game play for 3 months. So, she spends 3x dollars on game play.
Kenny also buys 1 software package for $50, and he spends $50 on game play for 5 months. So, he spends 5x dollars on game play.
Therefore, the total cost of game play is 3x + 5x = 8x dollars.
We are given that the total cost is $212, so we can set up the following equation:
8x = $212
Dividing both sides of the equation by 8, we get:
x = $212/8
x = $26.50
Therefore, the cost of one month of game play is $26.50. Answer: \boxed{26.50}.
Let's assume the cost of one month of game play is 'x'.
Angie's total cost:
Cost of 1 software package + Cost of 3 months of game play = $50 + (3 * x) = $50 + 3x
Kenny's total cost:
Cost of 1 software package + Cost of 5 months of game play = $50 + (5 * x) = $50 + 5x
Together, their total cost is $212:
Angie's total cost + Kenny's total cost = $212
($50 + 3x) + ($50 + 5x) = $212
Simplifying the equation:
$100 + 8x = $212
Subtracting $100 from both sides:
8x = $112
Dividing both sides by 8:
x = $14
Therefore, the cost of one month of game play is $14.
To find the cost of one month of game play, we need to break down the given information. Let's assign variables to the unknown quantities:
Let C be the cost of one month of game play.
Angie buys 1 software package (costing $50) and 3 months of game play.
Kenny buys 1 software package (costing $50) and 5 months of game play.
We can write the following equations based on the given information:
1 software package + 3 months of game play = $212 (total cost)
C + 50 + 3C = 212
Now let's solve the equation to find the value of C:
Combine like terms:
4C + 50 = 212
Subtract 50 from both sides:
4C = 212 - 50
4C = 162
Divide both sides by 4 to isolate C:
C = 162 / 4
C = 40.50
Therefore, the cost of one month of game play is $40.50.