Respuesta :
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