Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package and 2 months of game play. Each software package costs $35. If their total cost is $120, what is the cost of one month of game play?
The cost of one month of game play is $____
Let's find the individual cost of a software package first.
Let's assume the cost of one month of game play is x dollars.
So, the cost of one software package is 35 dollars.
Angie buys 3 months of game play, so she spends 3x dollars on game play.
Hence, Angie spends 3x + 35 dollars on software and game play.
Kenny buys 2 months of game play, so he spends 2x dollars on game play.
Hence, Kenny spends 2x + 35 dollars on software and game play.
The total cost of software and game play is 120 dollars, so we can write the equation:
3x + 35 + 2x + 35 = 120
Combining like terms, we get:
5x + 70 = 120
Subtracting 70 from both sides, we get:
5x = 50
Dividing both sides by 5, we get:
x = 10
Therefore, the cost of one month of game play is 10 dollars.
Let's assume the cost of one month of game play is $x.
Angie buys 1 software package ($35) and 3 months of game play ($3x). So, Angie's total cost is $35 + 3x.
Kenny buys 1 software package ($35) and 2 months of game play ($2x). So, Kenny's total cost is $35 + 2x.
Their total cost is $120. So, we can set up the equation:
Angie's cost + Kenny's cost = $120
35 + 3x + 35 + 2x = 120
Combining like terms, we get:
5x + 70 = 120
Subtracting 70 from both sides:
5x = 120 - 70
5x = 50
Dividing both sides by 5:
x = 10
Therefore, the cost of one month of game play is $10.
To find the cost of one month of game play, we need to break down the total cost into the cost of software packages and the cost of game play months.
Let's start with Angie's purchase:
She buys 1 software package and 3 months of game play.
The cost of the software package is $35.
The cost of 3 months of game play is 3 times the cost of one month of game play (let's call it x).
So far, Angie's total cost is $35 (software package) + $3x (3 months of game play).
Now let's move on to Kenny's purchase:
He buys 1 software package and 2 months of game play.
The cost of the software package is $35.
The cost of 2 months of game play is 2 times the cost of one month of game play (x).
Kenny's total cost is $35 (software package) + $2x (2 months of game play).
Now, we can set up an equation to represent the total cost:
$35 (Angie's software package) + $3x (Angie's game play) + $35 (Kenny's software package) + $2x (Kenny's game play) = $120.
Simplifying the equation, we get:
$3x + $2x + $35 + $35 = $120.
$5x + $70 = $120.
To solve for x, we'll subtract $70 from both sides:
$5x = $120 - $70.
$5x = $50.
Then, we divide both sides by 5 to find the value of x:
x = $50 / 5.
x = $10.
Therefore, the cost of one month of game play is $10.