Angie and Kenny play online video games. Angie buys 1 software package and 4 months of game play. Kenny buys 1 software package and 1 month of game play. each software package cost $45. if their total cost is 175, what is the cost of one month of game play?

Respuesta :

Answer:

$ 17

Step-by-step explanation:

Let M represent month of game play

Each software package costs $45

Therefore, the cost of Angie and Kenny's software package

= $45 + $45

= $90

Angie buys 1 month of game play while Kenny buys 4 months of game play

Therefore they both buy 1 + 4 = 5 months of game play

Also, their total cost is $175

Now let's write an equation for their purchase

Price of software package + price of month of game play = 175

Slot in the respective values

90 + 5M = 175

Subtract 90 from both sides

90 - 90 + 5M = 175 - 90

5M = 85

Divide both sides by 5

M = 17

Therefore one month of game play = $ 17