Question

Angie and Kenny play online video games. Angie buys 11 software packagepackage and 11 monthmonth of game play. Kenny buys 22 software packagespackages and 22 monthsmonths of game play. Each software package costs ​$4040. If their total cost is ​$165165​, what is the cost of one month of game​ play?

Answer 1

The cost of one month of game​ play is $15

Explanation:

Software package bought by Angie = 1

Game play bought by Angie = 1 month

Software package bought by Kenny = 2

Game play bought by Angie = 2 month

Cost of software package = $40

Total cost for Angie and Kelly = $165

Let the cost of game play be 'x'

Thus,

Total cost for Angie = $40 × 1 + 1x

Total cost for Kelly = $40 × 2 + 2x

also,

( $40 × 1 + 1x ) + ( $40 × 2 + 2x ) = $165

or

$40 + 1x + $80 + 2x = $165

or

$120 + 3x = $165

or

3x = $165 - $120

or

3x = $45

or

x = $15

Hence,

The cost of one month of game​ play is $15