94.7k views
3 votes
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 $20. If their total cost is $115, what is the total cost of one month of game play

User Fehays
by
8.3k points

1 Answer

3 votes

Angie buys

1 Software package + 3 months of game play.

Each software package costs = $20.

Let us assume cost of one month of game play = $x.

Therefore, total cost to Angie for 1 Software package + 3 months of game play = 20*1 + 3x = 20 +3x.

Kenny buys

1 software package + 2 months of game play.

Therefore, total cost to Kenny for 1 software package + 2 months of game play = 20*1 + 2*x = 20+2x.

Their total cost = $115.

Adding their costs and set it equal to 115, we get

20 +3x + 20+2x = 115.

Now, we need to solve it for x.

40 + 5x = 115.

5x = 115 - 40.

5x = 75.

Dividing both sides by 5, we get

x= 15.

Therefore, $15 is the total cost of one month of game play.

User Tovah
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.