Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package and 4 months of game play. Each software package cost $50. If the total cost is 240, what is the cost of one month of gameplay?

Given

Angie and Kenny play online video games

Angie buys 1 software package and 3 months of game play

Kenny buys 1 software package and 4 months of game play

Each software package cost $50

total cost is 240

Find out the cost of one month of gameplay.

To proof

let us assume that the cost of one month of game play = x

As given in the question

Angie buys 1 software package and 3 months of game play

Kenny buys 1 software package and 4 months of game play

Each software package cost = $50

Total cost = $240

Than the equation becomes

(50 + 3x) + (50 + 4x) = 240

100 + 7x = 240

7x = 140

x = $20

The cost of one month gameplay is $ 240.

Hence proved

Answer:The cost of one month of game-play = $20

Step-by-step explanation:

Let the cost of one month of gameplay be x

Then cost of game-play bought by Angie = 3x ... (1)

and Then cost of game-play bought by Kenny=4x ... (2)

Cost of each software package = $50 ... (3)

The the total cost = 240 = sum of costs of software bought by both of them and game-play) = 50+50+3x+4x

⇒240=100+7x ... → (by adding like terms)

⇒140=7x⇒x=20 ... → (dividing both sides by 7)

∴the cost of one month of game-play = $20