Question

Angie and Kenny play online video games. Angie buys 2 software packages and 3 months of game play. Kenny buys 1 software packages and 5 months of game play. Each software package costs ​$30. If their total cost is ​$210​, what is the cost of one month of game​ play?
the cost of one month of game play is $?

Answer 1

$15 Write down some equations that express what you know. A = 2*30 + 3x K = 1*30 + 5x A+K = 210 Substitute the expression for A in the A+K=210 expression 2*30 +3x + K = 210 Now substitute the expression for for K 2*30 + 3x + 1*30 + 5x = 210 Multiply and combine terms 60 + 3x + 30 + 5x = 210 90 + 8x = 210 Subtract 90 from both sides 8x = 120 Divide both sides by 8 x = 120/8 = 15 The cost of one month of game play is $15